Pith Number

pith:5SBYMKBP

pith:2015:5SBYMKBPUYEM27R67YWVAMJMMK

not attested not anchored not stored refs pending

What are essential concepts about networks?

Catherine Cramer, Hiroki Sayama, Lori Sheetz, Mason A. Porter, Stephen Uzzo

arxiv:1507.03490 v3 · 2015-07-13 · cs.SI · math.CO · nlin.AO · physics.data-an · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SBYMKBPUYEM27R67YWVAMJMMK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:43:39.880367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec8386282fa608cd7e3efe2d50312c6280a0b51dda775fd4f91601b781915619

Aliases

arxiv: 1507.03490 · arxiv_version: 1507.03490v3 · doi: 10.48550/arxiv.1507.03490 · pith_short_12: 5SBYMKBPUYEM · pith_short_16: 5SBYMKBPUYEM27R6 · pith_short_8: 5SBYMKBP

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/5SBYMKBPUYEM27R67YWVAMJMMK \
  | 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: ec8386282fa608cd7e3efe2d50312c6280a0b51dda775fd4f91601b781915619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929ecffb15c877613c852538369831a1f31570834cf4f32dc0dc22b1a88443ea",
    "cross_cats_sorted": [
      "math.CO",
      "nlin.AO",
      "physics.data-an",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2015-07-13T15:20:54Z",
    "title_canon_sha256": "c2d0001366a7bef2c5f4f688c00b6a42c5689bb88a00aea721f9938af2442afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03490",
    "kind": "arxiv",
    "version": 3
  }
}