Pith Number

pith:G3RIMGVA

pith:2025:G3RIMGVALOZ2RFVMXCYIRBDJXF

not attested not anchored not stored refs pending

Kan Approximations of the Persistent Homology Transform

Justin Curry, Shreya Arya

arxiv:2507.22816 v1 · 2025-07-30 · math.AT · cs.CG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3RIMGVALOZ2RFVMXCYIRBDJXF}

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.

Receipt and verification

First computed	2026-07-05T11:45:49.651157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e2861aa05bb3a896acb8b0888469b97ccd14155a9172ed888737b27c45cd15

Aliases

arxiv: 2507.22816 · arxiv_version: 2507.22816v1 · doi: 10.48550/arxiv.2507.22816 · pith_short_12: G3RIMGVALOZ2 · pith_short_16: G3RIMGVALOZ2RFVM · pith_short_8: G3RIMGVA

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/G3RIMGVALOZ2RFVMXCYIRBDJXF \
  | 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: 36e2861aa05bb3a896acb8b0888469b97ccd14155a9172ed888737b27c45cd15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e525f2e37c7c3d199c12e01a84ef7a64d671e3e19585eadd68228aaf4eed1e6",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-30T16:32:33Z",
    "title_canon_sha256": "7e58953fc241adea0e983ffd975f369491a5366289113fa4017e25e32504bce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22816",
    "kind": "arxiv",
    "version": 1
  }
}