Pith Number

pith:F3JQIMD2

pith:2026:F3JQIMD25FIZI2P7LCDVQCR7ZM

not attested not anchored not stored refs pending

Three Generations in E7

John C. Baez

arxiv:2608.06271 v1 · 2026-08-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3JQIMD25FIZI2P7LCDVQCR7ZM}

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	2026-08-07T01:41:05.902656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ed304307ae9519469ff5887580a3fcb2100f7e24180d94195cc903acb503e6b

Aliases

arxiv: 2608.06271 · arxiv_version: 2608.06271v1 · doi: 10.48550/arxiv.2608.06271 · pith_short_12: F3JQIMD25FIZ · pith_short_16: F3JQIMD25FIZI2P7 · pith_short_8: F3JQIMD2

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/F3JQIMD25FIZI2P7LCDVQCR7ZM \
  | 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: 2ed304307ae9519469ff5887580a3fcb2100f7e24180d94195cc903acb503e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "705a77541cd0cdad1119dcc03317aa3009e821bec3cdb929ed8974585cde2260",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-06T17:01:41Z",
    "title_canon_sha256": "1b073ffae89c4713d66aa4265faf1db98be96bfed138ee9c27b6d65f58939a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06271",
    "kind": "arxiv",
    "version": 1
  }
}