Pith Number

pith:PTWDHMFY

pith:2006:PTWDHMFYZNYDZZV76GZXJK3WPO

not attested not anchored not stored refs pending

Simple omega-categories and chain complexes

Richard Steiner

arxiv:math/0608680 v2 · 2006-08-28 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTWDHMFYZNYDZZV76GZXJK3WPO}

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.

Cited by

1 paper in Pith

Deformation Theory for $(\infty,n)$-categories

Receipt and verification

First computed	2026-07-04T15:00:41.143293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cec33b0b8cb703ce6bff1b374ab767bbd6004cb8a6fbae9b65c9357a95a38f6

Aliases

arxiv: math/0608680 · arxiv_version: math/0608680v2 · doi: 10.48550/arxiv.math/0608680 · pith_short_12: PTWDHMFYZNYD · pith_short_16: PTWDHMFYZNYDZZV7 · pith_short_8: PTWDHMFY

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/PTWDHMFYZNYDZZV76GZXJK3WPO \
  | 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: 7cec33b0b8cb703ce6bff1b374ab767bbd6004cb8a6fbae9b65c9357a95a38f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a151825e1a788a5c38de1de369a86ceeac20e42b55f61a11445bfbe023fd3cec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2006-08-28T08:55:06Z",
    "title_canon_sha256": "a554f0fd0116733831e62957802a4a1f6d1285a0128050fa32e53cb9f886f695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608680",
    "kind": "arxiv",
    "version": 2
  }
}