Pith Number

pith:DHNISXQ2

pith:2016:DHNISXQ2HH2FHZNDGHZRQL7BMB

not attested not anchored not stored refs pending

On the structure of graphs with given odd girth and large minimum degree

Mathias Schacht, Silvia Messuti

arxiv:1602.03904 v2 · 2016-02-11 · 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{DHNISXQ2HH2FHZNDGHZRQL7BMB}

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	2026-05-18T01:19:10.898123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19da895e1a39f453e5a331f3182fe16055c55c35d43600b2441417d9dc996174

Aliases

arxiv: 1602.03904 · arxiv_version: 1602.03904v2 · doi: 10.48550/arxiv.1602.03904 · pith_short_12: DHNISXQ2HH2F · pith_short_16: DHNISXQ2HH2FHZND · pith_short_8: DHNISXQ2

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/DHNISXQ2HH2FHZNDGHZRQL7BMB \
  | 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: 19da895e1a39f453e5a331f3182fe16055c55c35d43600b2441417d9dc996174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f84f303a686c1a4af87696e03599a01b4fb5cf874c77100e4cf6326645981be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-11T21:27:16Z",
    "title_canon_sha256": "c1404f6c37299647fc0412ec80e0982b63c6f2d904b240f27da881363957b697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03904",
    "kind": "arxiv",
    "version": 2
  }
}