Pith Number

pith:HUSX3RO6

pith:2015:HUSX3RO6M6HGEMQFXYULQBH7OK

not attested not anchored not stored refs pending

Graphs of Large Girth and Surfaces of Large Systole

Alexander Walker, Bram Petri

arxiv:1512.06839 v1 · 2015-12-21 · math.GT · math.CO · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUSX3RO6M6HGEMQFXYULQBH7OK}

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	2026-05-18T01:23:59.567614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d257dc5de678e623205be28b804ff72bffb41d05b746b4508f14f65e5540dc1

Aliases

arxiv: 1512.06839 · arxiv_version: 1512.06839v1 · doi: 10.48550/arxiv.1512.06839 · pith_short_12: HUSX3RO6M6HG · pith_short_16: HUSX3RO6M6HGEMQF · pith_short_8: HUSX3RO6

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/HUSX3RO6M6HGEMQFXYULQBH7OK \
  | 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: 3d257dc5de678e623205be28b804ff72bffb41d05b746b4508f14f65e5540dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b60c8854eee5b65f5157248cf0e93570fc5f77751c58a74424f50aa41cb336",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-21T20:58:34Z",
    "title_canon_sha256": "d0d910bcb8c134c664d9763b056b334113cdb557ceb7c11c6edc32b2e7e8b5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06839",
    "kind": "arxiv",
    "version": 1
  }
}