Pith Number

pith:POVBWJFX

pith:2010:POVBWJFX6VUQVEXVBFMTEU2L7Q

not attested not anchored not stored refs pending

Towards a homotopy theory of higher dimensional transition systems

Philippe Gaucher

arxiv:1011.0918 v3 · 2010-11-03 · math.CT · 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{POVBWJFX6VUQVEXVBFMTEU2L7Q}

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	2026-05-18T03:00:40.070718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baa1b24b7f5690a92f5095932534bfc1456eed70fb401b3a399c0fd8eaa29b3

Aliases

arxiv: 1011.0918 · arxiv_version: 1011.0918v3 · doi: 10.48550/arxiv.1011.0918 · pith_short_12: POVBWJFX6VUQ · pith_short_16: POVBWJFX6VUQVEXV · pith_short_8: POVBWJFX

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/POVBWJFX6VUQVEXVBFMTEU2L7Q \
  | 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: 7baa1b24b7f5690a92f5095932534bfc1456eed70fb401b3a399c0fd8eaa29b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c9285848941a40a921ebf8da9d823a898a94c216a7bf35db8c1eb58ac82eca",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-11-03T15:34:39Z",
    "title_canon_sha256": "e7464f1eacd2bb0d4adc7ae801201e5981499c49e2d82d47c08be887081c989c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0918",
    "kind": "arxiv",
    "version": 3
  }
}