Pith Number

pith:MNFC7ZGI

pith:2025:MNFC7ZGI5QRFSXWN4KKBIZALCX

not attested not anchored not stored refs pending

On Zoll Contact 5-Spheres

Julian Chaidez, Shira Tanny

arxiv:2509.09639 v1 · 2025-09-11 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNFC7ZGI5QRFSXWN4KKBIZALCX}

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	2026-07-05T12:09:40.015112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634a2fe4c8ec22595ecde29414640b15cd97a0f228004d844093f73f0c00cfcc

Aliases

arxiv: 2509.09639 · arxiv_version: 2509.09639v1 · doi: 10.48550/arxiv.2509.09639 · pith_short_12: MNFC7ZGI5QRF · pith_short_16: MNFC7ZGI5QRFSXWN · pith_short_8: MNFC7ZGI

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/MNFC7ZGI5QRFSXWN4KKBIZALCX \
  | 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: 634a2fe4c8ec22595ecde29414640b15cd97a0f228004d844093f73f0c00cfcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ce0287a060659a8c6e01c624d7eebe7ce88962fabee83de7e13ee2b37047dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-09-11T17:26:37Z",
    "title_canon_sha256": "3fc63f53d9db2f455f381392efc2c9ccb2f55222de1b5919b0abdec3b221369b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09639",
    "kind": "arxiv",
    "version": 1
  }
}