Pith Number

pith:RYQTR7ZP

pith:2017:RYQTR7ZP23MURA63CD732VAZXW

not attested not anchored not stored refs pending

Code algebras, axial algebras and VOAs

Alonso Castillo-Ramirez, Felix Rehren, Justin McInroy

arxiv:1707.07992 v4 · 2017-07-25 · math.RA · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYQTR7ZP23MURA63CD732VAZXW}

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	2026-05-17T23:55:09.818456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e2138ff2fd6d94883db10ffbd5419bdbf1620509f49b1f5e8d8107211070f13

Aliases

arxiv: 1707.07992 · arxiv_version: 1707.07992v4 · doi: 10.48550/arxiv.1707.07992 · pith_short_12: RYQTR7ZP23MU · pith_short_16: RYQTR7ZP23MURA63 · pith_short_8: RYQTR7ZP

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/RYQTR7ZP23MURA63CD732VAZXW \
  | 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: 8e2138ff2fd6d94883db10ffbd5419bdbf1620509f49b1f5e8d8107211070f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccf001ad099153f2a9e2814c831076227ca915e86d44ebaf169f659e1fbc08c",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-07-25T13:42:56Z",
    "title_canon_sha256": "8ea98ff9cd7e2e4e240cf7dca1c585645147a2eab8cecad1f0f20f1476209ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07992",
    "kind": "arxiv",
    "version": 4
  }
}