Pith Number

pith:GKY5PYDZ

pith:2008:GKY5PYDZIDUM3U3VPKW64U6KCN

not attested not anchored not stored refs pending

Marked tubes and the graph multiplihedron

Satyan L. Devadoss, Stefan Forcey

arxiv:0807.4159 v1 · 2008-07-25 · math.QA · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKY5PYDZIDUM3U3VPKW64U6KCN}

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	2026-05-18T01:49:54.406294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b1d7e07940e8cdd3757aadee53ca1340fc3b2ca6869beb23f5d211a396a752

Aliases

arxiv: 0807.4159 · arxiv_version: 0807.4159v1 · doi: 10.48550/arxiv.0807.4159 · pith_short_12: GKY5PYDZIDUM · pith_short_16: GKY5PYDZIDUM3U3V · pith_short_8: GKY5PYDZ

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/GKY5PYDZIDUM3U3VPKW64U6KCN \
  | 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: 32b1d7e07940e8cdd3757aadee53ca1340fc3b2ca6869beb23f5d211a396a752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1987fc407c371d9c50645047101b1c1268133768e73bac071bc09b326729847",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-07-25T18:11:53Z",
    "title_canon_sha256": "31af79d103ac3b7473269087b62e58d307a58084243255ae26e91dbb55894e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4159",
    "kind": "arxiv",
    "version": 1
  }
}