Pith Number

pith:WJWE245M

pith:2019:WJWE245MNJM76KOBE7FDIFIBLK

not attested not anchored not stored refs pending

Persistent Homology of Graph Embeddings

Ian Gallagher, Patrick Rubin-Delanchy, Vinesh Solanki

arxiv:1912.10238 v2 · 2019-12-21 · math.ST · math.AT · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJWE245MNJM76KOBE7FDIFIBLK}

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	2026-07-05T03:22:31.713639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26c4d73ac6a59ff29c127ca3415015ab5d99acc024172e76e6bf5b6c7e23dbf

Aliases

arxiv: 1912.10238 · arxiv_version: 1912.10238v2 · doi: 10.48550/arxiv.1912.10238 · pith_short_12: WJWE245MNJM7 · pith_short_16: WJWE245MNJM76KOB · pith_short_8: WJWE245M

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/WJWE245MNJM76KOBE7FDIFIBLK \
  | 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: b26c4d73ac6a59ff29c127ca3415015ab5d99acc024172e76e6bf5b6c7e23dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78402a87d56f2e23dffb164dd27544864a63b3ac14df8c88696e153a2be24225",
    "cross_cats_sorted": [
      "math.AT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-12-21T10:21:59Z",
    "title_canon_sha256": "5022c1090fc59381224150ed533b838df1231b9cd34cd6ba2f03c9501f5e4c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10238",
    "kind": "arxiv",
    "version": 2
  }
}