Pith Number

pith:JIKAOVQ5

pith:2022:JIKAOVQ5JKR2LVB74T7AXLDER3

not attested not anchored not stored refs pending

A note on non-isomorphic edge-color classes in random graphs

Andrzej Dudek, Elizabeth Sprangel, Patrick Bennett, Ryan Cushman

arxiv:2210.02301 v2 · 2022-10-05 · 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{JIKAOVQ5JKR2LVB74T7AXLDER3}

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	2026-07-05T05:32:12.267590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1407561d4aa3a5d43fe4fe0bac648ee4a2489ada60b75e5676b6edfcb9cda5

Aliases

arxiv: 2210.02301 · arxiv_version: 2210.02301v2 · doi: 10.48550/arxiv.2210.02301 · pith_short_12: JIKAOVQ5JKR2 · pith_short_16: JIKAOVQ5JKR2LVB7 · pith_short_8: JIKAOVQ5

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/JIKAOVQ5JKR2LVB74T7AXLDER3 \
  | 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: 4a1407561d4aa3a5d43fe4fe0bac648ee4a2489ada60b75e5676b6edfcb9cda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a50be9fbe4dadd931425a18f9853df191d9403b8766f8406a0757841076d6e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-05T14:40:08Z",
    "title_canon_sha256": "a89fb373050cd2ccd8bec1a65635ed581e791277ed4b351242e70b9c3de799ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.02301",
    "kind": "arxiv",
    "version": 2
  }
}