Pith Number

pith:SMAGDRJG

pith:2013:SMAGDRJGRCM2R253PMDXH6CLWL

not attested not anchored not stored refs pending

The first k-regular subgraph is large

Pu Gao

arxiv:1303.5139 v2 · 2013-03-21 · 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{SMAGDRJGRCM2R253PMDXH6CLWL}

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	2026-05-18T03:00:12.895184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930061c5268899a8ebbb7b0773f84bb2e44e5cc8af8889c6c9826b105ef4f619

Aliases

arxiv: 1303.5139 · arxiv_version: 1303.5139v2 · doi: 10.48550/arxiv.1303.5139 · pith_short_12: SMAGDRJGRCM2 · pith_short_16: SMAGDRJGRCM2R253 · pith_short_8: SMAGDRJG

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/SMAGDRJGRCM2R253PMDXH6CLWL \
  | 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: 930061c5268899a8ebbb7b0773f84bb2e44e5cc8af8889c6c9826b105ef4f619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162f4c9c300034b88a3af03a6e3444939927d178fd6163cfc7cd8748865fe73a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-21T01:48:11Z",
    "title_canon_sha256": "98b975f83ded563c6eeb7c8570b927c796636899a86e609b8aa46c147054bf0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5139",
    "kind": "arxiv",
    "version": 2
  }
}