Pith Number

pith:W3GPXRTN

pith:2025:W3GPXRTN3AXBSP7OYJ25QEIRCB

not attested not anchored not stored refs pending

Don't be Afraid of Cell Complexes! An Introduction from an Applied Perspective

Josef Hoppe, Michael T. Schaub, Vincent P. Grande

arxiv:2506.09726 v1 · 2025-06-11 · eess.SP · cs.CG · cs.SI · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3GPXRTN3AXBSP7OYJ25QEIRCB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Topological Signal Processing: An Application-Oriented Tutorial

Phase locking and multistability in the topological Kuramoto model on cell complexes

Receipt and verification

First computed	2026-07-05T11:19:55.897089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ccfbc66dd82e193feec275d8111110568f4b04a7b15cf8085306fd87ea5c30

Aliases

arxiv: 2506.09726 · arxiv_version: 2506.09726v1 · doi: 10.48550/arxiv.2506.09726 · pith_short_12: W3GPXRTN3AXB · pith_short_16: W3GPXRTN3AXBSP7O · pith_short_8: W3GPXRTN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W3GPXRTN3AXBSP7OYJ25QEIRCB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b6ccfbc66dd82e193feec275d8111110568f4b04a7b15cf8085306fd87ea5c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958035d09e2f7345ae8deeba7117e96c695d279c66d746ae4a3a3e47be1bcd36",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.SI",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-06-11T13:34:25Z",
    "title_canon_sha256": "ed671f0a7c02f0b7020aa4d10a86592332aec85321e75861f887321885b122b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09726",
    "kind": "arxiv",
    "version": 1
  }
}