Pith Number

pith:55ILMII5

pith:2002:55ILMII5LXLFFDFU2Z3ZZGE3B3

not attested not anchored not stored refs pending

A functorial approach to differential characters

Paul Turner

arxiv:math/0212128 v2 · 2002-12-09 · 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{55ILMII5LXLFFDFU2Z3ZZGE3B3}

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	2026-05-18T02:41:32.788917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef50b6211d5dd6528cb4d6779c989b0ee51364ec7951c4ca789df18b1a3d6d1d

Aliases

arxiv: math/0212128 · arxiv_version: math/0212128v2 · doi: 10.48550/arxiv.math/0212128 · pith_short_12: 55ILMII5LXLF · pith_short_16: 55ILMII5LXLFFDFU · pith_short_8: 55ILMII5

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/55ILMII5LXLFFDFU2Z3ZZGE3B3 \
  | 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: ef50b6211d5dd6528cb4d6779c989b0ee51364ec7951c4ca789df18b1a3d6d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6caacd41d437a84c6a3b3c458957a5daec7cb5df998f8370438f7b3dea651e61",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-12-09T19:10:51Z",
    "title_canon_sha256": "d1d87f76c73e923611a7358c782a28fff6cbbf44f5ba22b9e172ce59b94d32a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212128",
    "kind": "arxiv",
    "version": 2
  }
}