Pith Number

pith:MVQ56I7X

pith:2017:MVQ56I7X5DYHA7BIUE4I3GT2VT

not attested not anchored not stored refs pending

Making spanning graphs

Humberto Naves, Julia B\"ottcher, Peter Allen, Yoshiharu Kohayakawa, Yury Person

arxiv:1711.05311 v1 · 2017-11-14 · 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{MVQ56I7X5DYHA7BIUE4I3GT2VT}

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	2026-05-18T00:30:33.677349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6561df23f7e8f0707c28a1388d9a7aacc5efdcf3c7ba633e16e13e87012a374e

Aliases

arxiv: 1711.05311 · arxiv_version: 1711.05311v1 · doi: 10.48550/arxiv.1711.05311 · pith_short_12: MVQ56I7X5DYH · pith_short_16: MVQ56I7X5DYHA7BI · pith_short_8: MVQ56I7X

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/MVQ56I7X5DYHA7BIUE4I3GT2VT \
  | 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: 6561df23f7e8f0707c28a1388d9a7aacc5efdcf3c7ba633e16e13e87012a374e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e77f3e5159a74f6606eb2a3b219f547f792a715376135c6c83b80b2ad63ad4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-14T21:00:32Z",
    "title_canon_sha256": "89a27e488d2c8377b53d5330e26d5ef09c1f7706e918f9f2b9fc0f0b8715097d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05311",
    "kind": "arxiv",
    "version": 1
  }
}