Pith Number

pith:GIGLCSA5

pith:2010:GIGLCSA5F7LPSPQYVYQW45TJQB

not attested not anchored not stored refs pending

Cohomologous Harmonic Cochains

Anil N. Hirani, Han Wang, Kaushik Kalyanaraman, Seth Watts

arxiv:1012.2835 v8 · 2010-12-13 · cs.CG · math.GT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIGLCSA5F7LPSPQYVYQW45TJQB}

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	2026-05-18T04:07:17.789860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320cb1481d2fd6f93e18ae216e7669804a44d4d74b006e805595ecc952215810

Aliases

arxiv: 1012.2835 · arxiv_version: 1012.2835v8 · doi: 10.48550/arxiv.1012.2835 · pith_short_12: GIGLCSA5F7LP · pith_short_16: GIGLCSA5F7LPSPQY · pith_short_8: GIGLCSA5

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/GIGLCSA5F7LPSPQYVYQW45TJQB \
  | 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: 320cb1481d2fd6f93e18ae216e7669804a44d4d74b006e805595ecc952215810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "473247b46190be4c421f6f7fff9ef1bbae79326aac88791e428152415c6e3c07",
    "cross_cats_sorted": [
      "math.GT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2010-12-13T19:22:41Z",
    "title_canon_sha256": "1d6f95c7405d82be3e7a2090cf61f39a88a7a1dcc06c0fe770e5a4325a8617b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2835",
    "kind": "arxiv",
    "version": 8
  }
}