Pith Number

pith:37LXDZNW

pith:2026:37LXDZNWH6YJVGPBNELSBS6I2R

not attested not anchored not stored refs pending

Stability of persistent path homology of path complexes

Chris Kapulkin, Kyle Koyanagi

arxiv:2607.26226 v1 · 2026-07-28 · math.AT · cs.CG · 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{37LXDZNWH6YJVGPBNELSBS6I2R}

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	2026-07-30T01:17:45.453442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

dfd771e5b63fb09a99e1691720cbc8d4735659fce0f789dd4e35a9f53cb53f6f

Aliases

arxiv: 2607.26226 · arxiv_version: 2607.26226v1 · doi: 10.48550/arxiv.2607.26226 · pith_short_12: 37LXDZNWH6YJ · pith_short_16: 37LXDZNWH6YJVGPB · pith_short_8: 37LXDZNW

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/37LXDZNWH6YJVGPBNELSBS6I2R \
  | 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: dfd771e5b63fb09a99e1691720cbc8d4735659fce0f789dd4e35a9f53cb53f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb7a1295180c275e832282a65643776a5e584419bf4666470c486d9c57fb4d7",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-28T20:02:25Z",
    "title_canon_sha256": "bb0cea19dfd214d27bcbbeb59070d1659c199ee69a37d2c810415364a20e3958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26226",
    "kind": "arxiv",
    "version": 1
  }
}