Pith Number

pith:CGXQDVDH

pith:2026:CGXQDVDHA5BSH4PDWAXFZ77FHP

not attested not anchored not stored refs pending

On The Morse Ensemble Polynomial Of Simplicial Complexes

Chong Zheng

arxiv:2605.24689 v1 · 2026-05-23 · math.CO · math.AT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGXQDVDHA5BSH4PDWAXFZ77FHP}

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	2026-05-26T01:03:53.431362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11af01d467074323f1e3b02e5cffe53bc51a683f76090d51b8a1c3eefd0a98e9

Aliases

arxiv: 2605.24689 · arxiv_version: 2605.24689v1 · doi: 10.48550/arxiv.2605.24689 · pith_short_12: CGXQDVDHA5BS · pith_short_16: CGXQDVDHA5BSH4PD · pith_short_8: CGXQDVDH

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/CGXQDVDHA5BSH4PDWAXFZ77FHP \
  | 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: 11af01d467074323f1e3b02e5cffe53bc51a683f76090d51b8a1c3eefd0a98e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3571d115410fd27eae90570796a1789d14483be78d6e128a62dd5a9c14f3d7b",
    "cross_cats_sorted": [
      "math.AT",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-23T17:56:04Z",
    "title_canon_sha256": "4f360fe1113174bb75cf45f29541b5ef06d3b35c71028358e6ff7b9f97e50b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24689",
    "kind": "arxiv",
    "version": 1
  }
}