Pith Number

pith:HNQZIDMX

pith:2026:HNQZIDMXKYYE6AEBCBZ37T24QD

not attested not anchored not stored refs pending

Hodge Spectral Surrogates for Topology-Constrained Optimization

Satoshi Kanno, Yoshi-aki Shimada

arxiv:2606.25194 v1 · 2026-06-23 · math.AT · cs.CG · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNQZIDMXKYYE6AEBCBZ37T24QD}

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	2026-06-25T00:18:20.523455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b61940d9756304f00811073bfcf5c80d2c467d0667ddff64c7cbb4498cd4cdc

Aliases

arxiv: 2606.25194 · arxiv_version: 2606.25194v1 · doi: 10.48550/arxiv.2606.25194 · pith_short_12: HNQZIDMXKYYE · pith_short_16: HNQZIDMXKYYE6AEB · pith_short_8: HNQZIDMX

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/HNQZIDMXKYYE6AEBCBZ37T24QD \
  | 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: 3b61940d9756304f00811073bfcf5c80d2c467d0667ddff64c7cbb4498cd4cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1f0d3aa20e692a865ad7efe91f1c49aa0f294c150c9c428c596a440a79f25b",
    "cross_cats_sorted": [
      "cs.CG",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-23T21:38:32Z",
    "title_canon_sha256": "0dd13d2cd6ab0ff6564bd3ae91e688a93511213fb7b98b29ed18174892407967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25194",
    "kind": "arxiv",
    "version": 1
  }
}