Pith Number

pith:E6LHK6I5

pith:2017:E6LHK6I5GJ2DKKRNKLLJSCJWXX

not attested not anchored not stored refs pending

Topological Graph Persistence

Lorenzo Zuffi, Massimo Ferri, Mattia G. Bergomi

arxiv:1707.09670 v4 · 2017-07-30 · 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{E6LHK6I5GJ2DKKRNKLLJSCJWXX}

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	2026-05-18T00:03:41.735157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

279675791d3274352a2d52d6990936bde81b59055a29cc9099ff464ee1c9fd2b

Aliases

arxiv: 1707.09670 · arxiv_version: 1707.09670v4 · doi: 10.48550/arxiv.1707.09670 · pith_short_12: E6LHK6I5GJ2D · pith_short_16: E6LHK6I5GJ2DKKRN · pith_short_8: E6LHK6I5

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/E6LHK6I5GJ2DKKRNKLLJSCJWXX \
  | 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: 279675791d3274352a2d52d6990936bde81b59055a29cc9099ff464ee1c9fd2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cdc05311462839cd8dd1b4dab2a5fd4cf795084390db712aa32c4986d834c7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-30T20:58:37Z",
    "title_canon_sha256": "cce7b1f0fc362e788589290fd8ef2a366435add9ad9738e2632cd05f1e58133e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09670",
    "kind": "arxiv",
    "version": 4
  }
}