Pith Number

pith:ERVOM35B

pith:2026:ERVOM35BMK3VXOHPD2HHZPO6UJ

not attested not anchored not stored refs pending

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces

Dong Zhang

arxiv:2608.09606 v1 · 2026-08-10 · math.CO · math.FA · math.MG · 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{ERVOM35BMK3VXOHPD2HHZPO6UJ}

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	2026-08-11T02:24:35.895307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

246ae66fa162b75bb8ef1e8e7cbddea2505771a81ca025248254f2b1512463f7

Aliases

arxiv: 2608.09606 · arxiv_version: 2608.09606v1 · doi: 10.48550/arxiv.2608.09606 · pith_short_12: ERVOM35BMK3V · pith_short_16: ERVOM35BMK3VXOHP · pith_short_8: ERVOM35B

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/ERVOM35BMK3VXOHPD2HHZPO6UJ \
  | 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: 246ae66fa162b75bb8ef1e8e7cbddea2505771a81ca025248254f2b1512463f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb66c78133f31557316a274cb9defc4cb26270aea9db6f935190ff4ba34d4d9c",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-10T13:49:42Z",
    "title_canon_sha256": "f1b0343473dc3396a774815324704f245c506dab526bdc0f8c6629139853b9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09606",
    "kind": "arxiv",
    "version": 1
  }
}