Pith Number

pith:T6JBAJDP

pith:2012:T6JBAJDPRBVSOA3OMJS3OEH7DF

not attested not anchored not stored refs pending

Lie Groupoids and Generalized Almost Subtangent Manifolds

Fulya Sahin

arxiv:1211.0167 v1 · 2012-11-01 · math.GT · 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{T6JBAJDPRBVSOA3OMJS3OEH7DF}

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	2026-05-18T03:41:42.954037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9210246f886b27036e6265b710ff1952b7010513eae17764ec91502590f4c9

Aliases

arxiv: 1211.0167 · arxiv_version: 1211.0167v1 · doi: 10.48550/arxiv.1211.0167 · pith_short_12: T6JBAJDPRBVS · pith_short_16: T6JBAJDPRBVSOA3O · pith_short_8: T6JBAJDP

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/T6JBAJDPRBVSOA3OMJS3OEH7DF \
  | 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: 9f9210246f886b27036e6265b710ff1952b7010513eae17764ec91502590f4c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d25133ec2e06fe03c57600c8c90b12bd3431ca8f4d8a1798d56c712af9546d6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-01T13:01:19Z",
    "title_canon_sha256": "66f20a1614344f4c55b8990935078b15b3248b0b642475c1a1a8ad4ba3419aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0167",
    "kind": "arxiv",
    "version": 1
  }
}