Pith Number

pith:PP755FL5

pith:2025:PP755FL57U6C3JFL4VIFYAIQFF

not attested not anchored not stored refs pending

Anti-Vietoris--Rips metric thickenings and Borsuk graphs

Alex Elchesen, Henry Adams, Michael Moy, Sucharita Mallick

arxiv:2503.08862 v2 · 2025-03-11 · math.AT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP755FL57U6C3JFL4VIFYAIQFF}

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	2026-07-05T10:49:15.146098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bffde957dfd3c2da4abe5505c0110296f384dfcaa5fa6e9004dced20acfce3c

Aliases

arxiv: 2503.08862 · arxiv_version: 2503.08862v2 · doi: 10.48550/arxiv.2503.08862 · pith_short_12: PP755FL57U6C · pith_short_16: PP755FL57U6C3JFL · pith_short_8: PP755FL5

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/PP755FL57U6C3JFL4VIFYAIQFF \
  | 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: 7bffde957dfd3c2da4abe5505c0110296f384dfcaa5fa6e9004dced20acfce3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58850263e84a4d3d608749deb41b22a1492ecfc91ef3aa284e880683a02efa0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-03-11T20:00:59Z",
    "title_canon_sha256": "56c04bbb0bced71efbf40f0dbc0d2cfab1c6a1f2f0968f0941c09ea983c21e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.08862",
    "kind": "arxiv",
    "version": 2
  }
}