Pith Number

pith:RI3D3A44

pith:2011:RI3D3A44A2ILRMV4FA5KQ5465L

not attested not anchored not stored refs pending

Global Lie-Tresse theorem

Boris Kruglikov, Valentin Lychagin

arxiv:1111.5480 v3 · 2011-11-23 · 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{RI3D3A44A2ILRMV4FA5KQ5465L}

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	2026-05-18T01:49:56.319959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a363d839c0690b8b2bc283aa8779eeadbe3cd412b763c91f99ec925da079b5d

Aliases

arxiv: 1111.5480 · arxiv_version: 1111.5480v3 · doi: 10.48550/arxiv.1111.5480 · pith_short_12: RI3D3A44A2IL · pith_short_16: RI3D3A44A2ILRMV4 · pith_short_8: RI3D3A44

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/RI3D3A44A2ILRMV4FA5KQ5465L \
  | 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: 8a363d839c0690b8b2bc283aa8779eeadbe3cd412b763c91f99ec925da079b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d0634f9e70fdaf04ee835597b98bc0123696d2e3f3c01f5f307610dabcce45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-23T12:54:52Z",
    "title_canon_sha256": "6964dcf7586ce5ab84fa7b34c7a6729240a823b2a38b47c305b14b93cf41bf65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5480",
    "kind": "arxiv",
    "version": 3
  }
}