Pith Number

pith:PNABGFP4

pith:2025:PNABGFP45TVWNARI5MASD3KKL6

not attested not anchored not stored refs pending

Persistence and Topological Complexity

Facundo M\'emoli, Ling Zhou

arxiv:2506.17888 v2 · 2025-06-22 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNABGFP45TVWNARI5MASD3KKL6}

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	2026-07-05T11:54:48.584344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b401315fceceb668228eb0121ed4a5fbde893e547a13f5e5450d1c844b5e81c

Aliases

arxiv: 2506.17888 · arxiv_version: 2506.17888v2 · doi: 10.48550/arxiv.2506.17888 · pith_short_12: PNABGFP45TVW · pith_short_16: PNABGFP45TVWNARI · pith_short_8: PNABGFP4

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/PNABGFP45TVWNARI5MASD3KKL6 \
  | 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: 7b401315fceceb668228eb0121ed4a5fbde893e547a13f5e5450d1c844b5e81c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f83b2f64a0cf25b5526b9753e786dbb1ae3a2f44dd8925be3ea26717699d383f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-06-22T03:39:45Z",
    "title_canon_sha256": "12117a5537e70695433ea0ae5005ac902a73297e545015c065b543912a493955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17888",
    "kind": "arxiv",
    "version": 2
  }
}