Pith Number

pith:3CIOMZCT

pith:2006:3CIOMZCTY4AM6SXMBKJO2TZPRF

not attested not anchored not stored refs pending

On Fox spaces and Jacobi identities

Daciberg Gon\c{c}alves, Marek Golasinski, Peter Wong

arxiv:math/0601368 v2 · 2006-01-16 · 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{3CIOMZCTY4AM6SXMBKJO2TZPRF}

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	2026-05-18T04:22:30.053506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d890e66453c700cf4aec0a92ed4f2f894f16ad27893dbd47ce3c497c7df0015f

Aliases

arxiv: math/0601368 · arxiv_version: math/0601368v2 · doi: 10.48550/arxiv.math/0601368 · pith_short_12: 3CIOMZCTY4AM · pith_short_16: 3CIOMZCTY4AM6SXM · pith_short_8: 3CIOMZCT

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/3CIOMZCTY4AM6SXMBKJO2TZPRF \
  | 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: d890e66453c700cf4aec0a92ed4f2f894f16ad27893dbd47ce3c497c7df0015f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7927059b6611a5238d77ce19ebbc909e04529273f55728a7ba2ea6a550995e74",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-01-16T19:07:28Z",
    "title_canon_sha256": "ecd069befb17976f7859548f8aa8cb6120f56e9d4dd6359b77c29b650b3638fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601368",
    "kind": "arxiv",
    "version": 2
  }
}