Pith Number

pith:3D6R32FJ

pith:2026:3D6R32FJBV3DT4UETSMS3VJGW7

not attested not anchored not stored refs pending

Notes on rational chain connectedness

Osamu Fujino

arxiv:2602.19415 v3 · 2026-02-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D6R32FJBV3DT4UETSMS3VJGW7}

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	2026-07-14T01:20:00.740926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8fd1de8a90d7639f2849c992dd526b7fb4c0bda4f936aacfb0319f6ef242ccf

Aliases

arxiv: 2602.19415 · arxiv_version: 2602.19415v3 · doi: 10.48550/arxiv.2602.19415 · pith_short_12: 3D6R32FJBV3D · pith_short_16: 3D6R32FJBV3DT4UE · pith_short_8: 3D6R32FJ

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/3D6R32FJBV3DT4UETSMS3VJGW7 \
  | 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: d8fd1de8a90d7639f2849c992dd526b7fb4c0bda4f936aacfb0319f6ef242ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92cf04d6ea2714d90c6f73fda5df44b91198a84dfdc58f34fc12a09915d77ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-02-23T01:12:46Z",
    "title_canon_sha256": "328b59e2a133fe394b48c35c0fcd663eacb886c0ee18ab0ba2fce71785fefbc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.19415",
    "kind": "arxiv",
    "version": 3
  }
}