Pith Number

pith:RC2VHMW2

pith:2025:RC2VHMW2GSEQK6PKO4EEYICWAR

not attested not anchored not stored refs pending

Combinatorial properties of continuous graphs: A survey of challenges, solutions and open problems

Alexander Grigoriev, Katherine Faulkner

arxiv:2501.14554 v2 · 2025-01-24 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RC2VHMW2GSEQK6PKO4EEYICWAR}

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	2026-07-05T11:44:44.493961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b553b2da34890579ea77084c2056046890db9abe4fbfa4b6d55b84918e844a

Aliases

arxiv: 2501.14554 · arxiv_version: 2501.14554v2 · doi: 10.48550/arxiv.2501.14554 · pith_short_12: RC2VHMW2GSEQ · pith_short_16: RC2VHMW2GSEQK6PK · pith_short_8: RC2VHMW2

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/RC2VHMW2GSEQK6PKO4EEYICWAR \
  | 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: 88b553b2da34890579ea77084c2056046890db9abe4fbfa4b6d55b84918e844a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c13cb85faa9e924a4a51fb297ca3c9ec82b5e4e4d8ad83955ad9d0a505c86294",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-24T14:57:02Z",
    "title_canon_sha256": "be92a0dbdbae0e4474d5188c1623e2d52fce2b11a3849e95d489154857b77561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14554",
    "kind": "arxiv",
    "version": 2
  }
}