Pith Number

pith:JC2A4DRL

pith:2016:JC2A4DRLTES5L2QPDTHYPX2ZPN

not attested not anchored not stored refs pending

Optical tomography on graphs

Anna C. Gilbert, Francis J. Chung, Jeremy G. Hoskins, John C. Schotland

arxiv:1609.03041 v1 · 2016-09-10 · 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{JC2A4DRLTES5L2QPDTHYPX2ZPN}

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	2026-05-18T00:45:48.528611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b40e0e2b9925d5ea0f1ccf87df597b4954085173cd53e17f2db06ffcb0ef2b

Aliases

arxiv: 1609.03041 · arxiv_version: 1609.03041v1 · doi: 10.48550/arxiv.1609.03041 · pith_short_12: JC2A4DRLTES5 · pith_short_16: JC2A4DRLTES5L2QP · pith_short_8: JC2A4DRL

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/JC2A4DRLTES5L2QPDTHYPX2ZPN \
  | 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: 48b40e0e2b9925d5ea0f1ccf87df597b4954085173cd53e17f2db06ffcb0ef2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d4b2ceba823bb14dbe0e68be91f77ae983711ff0a51f68b99dda94a13fead3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-10T12:49:36Z",
    "title_canon_sha256": "80d0f2c7cdaaf046b857726b0df07a2bad671dd3dda4ba10e33e7730f12a1ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03041",
    "kind": "arxiv",
    "version": 1
  }
}