Pith Number

pith:BHLNN2CI

pith:2024:BHLNN2CIX2TK3U6TWGXKGIPXWA

not attested not anchored not stored refs pending

Any Graph is a Mapper Graph

Emilie Purvine, Enrique G Alvarado, Kang-Ju Lee, Robin Belton, Sarah Percival, Sarah Tymochko, Sourabh Palande

arxiv:2408.11180 v1 · 2024-08-20 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHLNN2CIX2TK3U6TWGXKGIPXWA}

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.

Cited by

1 paper in Pith

Towards an Optimal Bound for the Interleaving Distance on Mapper Graphs

Receipt and verification

First computed	2026-07-05T08:57:26.047099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d6d6e848bea6add3d3b1aea321f7b02aac912197521c608ef72592663f4da0

Aliases

arxiv: 2408.11180 · arxiv_version: 2408.11180v1 · doi: 10.48550/arxiv.2408.11180 · pith_short_12: BHLNN2CIX2TK · pith_short_16: BHLNN2CIX2TK3U6T · pith_short_8: BHLNN2CI

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/BHLNN2CIX2TK3U6TWGXKGIPXWA \
  | 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: 09d6d6e848bea6add3d3b1aea321f7b02aac912197521c608ef72592663f4da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f24e1e694b4aeaac3d8eba329567937a031add53293136ab6e9a27ebb1bcba1",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-08-20T20:22:56Z",
    "title_canon_sha256": "e5e02acef07c0a65de4facee815de81735b763fabbc405c6ecc154966022557a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11180",
    "kind": "arxiv",
    "version": 1
  }
}