Pith Number

pith:V7IOUJOU

pith:2025:V7IOUJOUV2SYPPHAEH5WA2BQDK

not attested not anchored not stored refs pending

Compact symmetric triads and symmetric triads with multiplicities

Kurando Baba, Osamu Ikawa

arxiv:2506.02511 v1 · 2025-06-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7IOUJOUV2SYPPHAEH5WA2BQDK}

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	2026-07-05T11:15:03.412817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd0ea25d4aea587bce021fb6068301a9bf5414d68f200e86d0676b4f5029bd0

Aliases

arxiv: 2506.02511 · arxiv_version: 2506.02511v1 · doi: 10.48550/arxiv.2506.02511 · pith_short_12: V7IOUJOUV2SY · pith_short_16: V7IOUJOUV2SYPPHA · pith_short_8: V7IOUJOU

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/V7IOUJOUV2SYPPHAEH5WA2BQDK \
  | 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: afd0ea25d4aea587bce021fb6068301a9bf5414d68f200e86d0676b4f5029bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "537320b7578a245903b0921555364633b37dc843338b636830904969874379a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-03T06:43:13Z",
    "title_canon_sha256": "55e638cfa465c57a84dbf957c1160a0047f5e433e3cfaaa231473a0a31d9b5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02511",
    "kind": "arxiv",
    "version": 1
  }
}