Pith Number

pith:VFJ2SXB7

pith:2014:VFJ2SXB7UEPMKBXAO5PKO6RJ4I

not attested not anchored not stored refs pending

Formal loops, Tate objects and tangent Lie algebras

Benjamin Hennion

arxiv:1412.0053 v2 · 2014-11-29 · 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{VFJ2SXB7UEPMKBXAO5PKO6RJ4I}

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	2026-05-18T02:26:31.351474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a953a95c3fa11ec506e0775ea77a29e22788e993c586ef4dcef44eb4c0274309

Aliases

arxiv: 1412.0053 · arxiv_version: 1412.0053v2 · doi: 10.48550/arxiv.1412.0053 · pith_short_12: VFJ2SXB7UEPM · pith_short_16: VFJ2SXB7UEPMKBXA · pith_short_8: VFJ2SXB7

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/VFJ2SXB7UEPMKBXAO5PKO6RJ4I \
  | 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: a953a95c3fa11ec506e0775ea77a29e22788e993c586ef4dcef44eb4c0274309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26c14d76b1114a90ee878af411927a24f5ee1d1b13ffab96a594cc9b708f719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-29T00:30:17Z",
    "title_canon_sha256": "e27593ac51c4ba8c3f413a176b40f4ec62abab19c3832bd34db6b653849c2d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0053",
    "kind": "arxiv",
    "version": 2
  }
}