Pith Number

pith:32JLM5HO

pith:2016:32JLM5HOMMWJUGUNRJGHFVKVLF

not attested not anchored not stored refs pending

Modular $A_n(V)$ theory

Li Ren

arxiv:1611.06611 v1 · 2016-11-20 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32JLM5HOMMWJUGUNRJGHFVKVLF}

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	2026-05-18T00:57:36.298348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de92b674ee632c9a1a8d8a4c72d5555957412ec9f6b65fa0caf30d2be481689f

Aliases

arxiv: 1611.06611 · arxiv_version: 1611.06611v1 · doi: 10.48550/arxiv.1611.06611 · pith_short_12: 32JLM5HOMMWJ · pith_short_16: 32JLM5HOMMWJUGUN · pith_short_8: 32JLM5HO

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/32JLM5HOMMWJUGUNRJGHFVKVLF \
  | 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: de92b674ee632c9a1a8d8a4c72d5555957412ec9f6b65fa0caf30d2be481689f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dee9a1cbccccfd3d7a112feec738836125f3c93728829131c6e1623777e492e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-11-20T23:31:23Z",
    "title_canon_sha256": "27007668802cc3880bfe7d108dad2ec77bef4f64ba41d34d4d1dafbe0ee7751a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06611",
    "kind": "arxiv",
    "version": 1
  }
}