Pith Number

pith:XLGHIFOX

pith:2016:XLGHIFOXSQQSZPGKBQOHOK37W3

not attested not anchored not stored refs pending

Random 4-regular graphs have 3-star decompositions asymptotically almost surely

Luke Postle, Michelle Delcourt

arxiv:1610.01113 v3 · 2016-10-04 · 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{XLGHIFOXSQQSZPGKBQOHOK37W3}

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	2026-05-18T00:19:47.800517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bacc7415d794212cbcca0c1c772b7fb6f62391f3c15040c6a152133b66571ce8

Aliases

arxiv: 1610.01113 · arxiv_version: 1610.01113v3 · doi: 10.48550/arxiv.1610.01113 · pith_short_12: XLGHIFOXSQQS · pith_short_16: XLGHIFOXSQQSZPGK · pith_short_8: XLGHIFOX

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/XLGHIFOXSQQSZPGKBQOHOK37W3 \
  | 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: bacc7415d794212cbcca0c1c772b7fb6f62391f3c15040c6a152133b66571ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "629358a0c487506feede515049fa3efafd0e8630cd319e5fb7b0d4855c6758e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-04T18:06:31Z",
    "title_canon_sha256": "4387f0be2140cfbb3a5c635386d28acfd5aa557882f4d060544572c985ed87c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01113",
    "kind": "arxiv",
    "version": 3
  }
}