Pith Number

pith:KDOYT7UI

pith:2018:KDOYT7UIOYALU2U6XO7R63FEUR

not attested not anchored not stored refs pending

A discrete Hopf-Rinow-theorem

Florentin M\"unch, Matthias Keller

arxiv:1807.10080 v1 · 2018-07-26 · math.MG · 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{KDOYT7UIOYALU2U6XO7R63FEUR}

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	2026-05-18T00:09:45.486572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50dd89fe887600ba6a9ebbbf1f6ca4a4404aac20dadbcc4a8c5dea5697ee993d

Aliases

arxiv: 1807.10080 · arxiv_version: 1807.10080v1 · doi: 10.48550/arxiv.1807.10080 · pith_short_12: KDOYT7UIOYAL · pith_short_16: KDOYT7UIOYALU2U6 · pith_short_8: KDOYT7UI

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/KDOYT7UIOYALU2U6XO7R63FEUR \
  | 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: 50dd89fe887600ba6a9ebbbf1f6ca4a4404aac20dadbcc4a8c5dea5697ee993d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e21f031112b30896fd8c5d1f8211330981d51c47473dcae3a07a3cdb7623deb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-07-26T11:57:20Z",
    "title_canon_sha256": "5794c162f7e8a3d290e314e0c0f8d84c0395ac952b7623a0f060baaff3cce7e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10080",
    "kind": "arxiv",
    "version": 1
  }
}