Pith Number

pith:7VHQAPI3

pith:2026:7VHQAPI3OKQHSFL6K2OONQOQOO

not attested not anchored not stored refs pending

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes

Jiahui Chen, Sebastian Wilcox

arxiv:2607.18692 v1 · 2026-07-21 · 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{7VHQAPI3OKQHSFL6K2OONQOQOO}

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	2026-07-22T01:23:06.998843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd4f003d1b72a079157e569ce6c1d073a518890c789ea3802eea73b75cf8cf1a

Aliases

arxiv: 2607.18692 · arxiv_version: 2607.18692v1 · doi: 10.48550/arxiv.2607.18692 · pith_short_12: 7VHQAPI3OKQH · pith_short_16: 7VHQAPI3OKQHSFL6 · pith_short_8: 7VHQAPI3

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/7VHQAPI3OKQHSFL6K2OONQOQOO \
  | 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: fd4f003d1b72a079157e569ce6c1d073a518890c789ea3802eea73b75cf8cf1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c87fd96a07e367bc18b32a99f80c3c0cf82973348718ffca55c49eaaf05aaf2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-21T04:19:24Z",
    "title_canon_sha256": "088f01fc4fe031b39860d59231bcc95bd7026aed360a724605031a905616b662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18692",
    "kind": "arxiv",
    "version": 1
  }
}