Pith Number

pith:4IUTKPQC

pith:2015:4IUTKPQCTWSZOTHKLFATQ6GFVQ

not attested not anchored not stored refs pending

Variation of the local topological structure of graph embeddings

Christian M. Reidys, Ricky X. F. Chen

arxiv:1503.01499 v1 · 2015-03-04 · 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{4IUTKPQCTWSZOTHKLFATQ6GFVQ}

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	2026-05-18T02:25:33.508087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e229353e029da5974cea59413878c5ac3491caf342d77bb263bef808906f7de2

Aliases

arxiv: 1503.01499 · arxiv_version: 1503.01499v1 · doi: 10.48550/arxiv.1503.01499 · pith_short_12: 4IUTKPQCTWSZ · pith_short_16: 4IUTKPQCTWSZOTHK · pith_short_8: 4IUTKPQC

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/4IUTKPQCTWSZOTHKLFATQ6GFVQ \
  | 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: e229353e029da5974cea59413878c5ac3491caf342d77bb263bef808906f7de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97cb2ddbb2015fc2ff5c203e0ba275e8b249df397f3f5d939adac8cb6d235881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-04T23:28:40Z",
    "title_canon_sha256": "fdff358cc4a5a4f14cb80186aa5161182d7a134cbda0a2ce72ffa12f7f4f08fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01499",
    "kind": "arxiv",
    "version": 1
  }
}