Pith Number

pith:7XP5Q236

pith:2015:7XP5Q236CH3TIDNYBIMAXEBB7F

not attested not anchored not stored refs pending

An arc graph distance formula for the flip graph

Christopher J Leininger, Funda Gultepe

arxiv:1511.04931 v1 · 2015-11-16 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XP5Q236CH3TIDNYBIMAXEBB7F}

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	2026-05-18T01:26:51.267458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fddfd86b7e11f7340db80a180b9021f96fa6d1ef196de3179ed0465e188fe127

Aliases

arxiv: 1511.04931 · arxiv_version: 1511.04931v1 · doi: 10.48550/arxiv.1511.04931 · pith_short_12: 7XP5Q236CH3T · pith_short_16: 7XP5Q236CH3TIDNY · pith_short_8: 7XP5Q236

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/7XP5Q236CH3TIDNYBIMAXEBB7F \
  | 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: fddfd86b7e11f7340db80a180b9021f96fa6d1ef196de3179ed0465e188fe127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccccd68149c4c6e01601ec3a5d8aa74fbb64f97854707b99b31912e3ca3f80a3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-16T12:33:02Z",
    "title_canon_sha256": "8f9c17d7b6e845ee115b84033a5a0d48267702424dc7334d4d399a37bd6b2b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04931",
    "kind": "arxiv",
    "version": 1
  }
}