Pith Number

pith:KDICWZRS

pith:2009:KDICWZRSAVZQREEDMQJZZJ4FMA

not attested not anchored not stored refs pending

A Chen model for mapping spaces and the surface product

Gregory Ginot, Mahmoud Zeinalian, Thomas Tradler

arxiv:0905.2231 v2 · 2009-05-14 · 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{KDICWZRSAVZQREEDMQJZZJ4FMA}

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	2026-05-18T04:32:00.813960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50d02b6632057308908364139ca785601d40ff811c3dd5cc76e531017bad7243

Aliases

arxiv: 0905.2231 · arxiv_version: 0905.2231v2 · doi: 10.48550/arxiv.0905.2231 · pith_short_12: KDICWZRSAVZQ · pith_short_16: KDICWZRSAVZQREED · pith_short_8: KDICWZRS

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/KDICWZRSAVZQREEDMQJZZJ4FMA \
  | 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: 50d02b6632057308908364139ca785601d40ff811c3dd5cc76e531017bad7243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5729c5af3a013c708a600480e4226d3ed44199f6e50617e3cbf6633f344b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-05-14T01:39:21Z",
    "title_canon_sha256": "fe6a9e18776630939ff606c3597b9201756be4b0b4a1499b33aaaa2f78556d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2231",
    "kind": "arxiv",
    "version": 2
  }
}