Pith Number

pith:I2YZQFKP

pith:2026:I2YZQFKPNEXQKMDLV4Q7JYAPAE

not attested not anchored not stored refs pending

On volume vectors determined by hypergraphs in thin subsets of Euclidean space

Ben Foster, Eyvindur Palsson, Francisco Romero Acosta, Tainara Borges, Yumeng Ou

arxiv:2607.00153 v1 · 2026-06-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2YZQFKPNEXQKMDLV4Q7JYAPAE}

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	2026-07-02T00:18:36.854236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b198154f692f05306baf21f4e00f010f11524d3f5c6348e498730b5b4eb098

Aliases

arxiv: 2607.00153 · arxiv_version: 2607.00153v1 · doi: 10.48550/arxiv.2607.00153 · pith_short_12: I2YZQFKPNEXQ · pith_short_16: I2YZQFKPNEXQKMDL · pith_short_8: I2YZQFKP

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/I2YZQFKPNEXQKMDLV4Q7JYAPAE \
  | 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: 46b198154f692f05306baf21f4e00f010f11524d3f5c6348e498730b5b4eb098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b12b2ff466a660fc842533080567f4b3c68976197b4161d14c72a475b192d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-30T20:29:09Z",
    "title_canon_sha256": "36d1b5fe3119f4bc2edfdf2089fa421edde057430e94ab3f2fafabbc1b6efd38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00153",
    "kind": "arxiv",
    "version": 1
  }
}