Pith Number

pith:G5HD3MP3

pith:2011:G5HD3MP3J35TLQWDKVDO777VWU

not attested not anchored not stored refs pending

OCHA and Leibniz Pairs, towards a Koszul duality

Eduardo Hoefel, Muriel Livernet

arxiv:1104.3607 v2 · 2011-04-19 · math.RA · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5HD3MP3J35TLQWDKVDO777VWU}

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	2026-05-18T03:59:03.263485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374e3db1fb4efb35c2c35546effff5b52d385c5eea08729305c3509973f27c87

Aliases

arxiv: 1104.3607 · arxiv_version: 1104.3607v2 · doi: 10.48550/arxiv.1104.3607 · pith_short_12: G5HD3MP3J35T · pith_short_16: G5HD3MP3J35TLQWD · pith_short_8: G5HD3MP3

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/G5HD3MP3J35TLQWDKVDO777VWU \
  | 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: 374e3db1fb4efb35c2c35546effff5b52d385c5eea08729305c3509973f27c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ea76d1ad3ea05bb5b0f0e06c97eeba1c2a2a3fe268eb6f6c5c9c556c15378d",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-04-19T00:29:41Z",
    "title_canon_sha256": "c8461186bff04bdb624856c3f0af0a86721857c319486f9e7d9bb9ce9d882388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3607",
    "kind": "arxiv",
    "version": 2
  }
}