Pith Number

pith:F3X2RFD7

pith:2014:F3X2RFD7A63YJDFV7MR4PZZ6U4

not attested not anchored not stored refs pending

Equivalence and Exact Groupoids

Scott M. LaLonde

arxiv:1411.1027 v2 · 2014-11-04 · 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{F3X2RFD7A63YJDFV7MR4PZZ6U4}

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	2026-05-18T02:31:03.639293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eefa8947f07b7848cb5fb23c7e73ea716b929c4826e91640363aa0f93512c70

Aliases

arxiv: 1411.1027 · arxiv_version: 1411.1027v2 · doi: 10.48550/arxiv.1411.1027 · pith_short_12: F3X2RFD7A63Y · pith_short_16: F3X2RFD7A63YJDFV · pith_short_8: F3X2RFD7

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/F3X2RFD7A63YJDFV7MR4PZZ6U4 \
  | 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: 2eefa8947f07b7848cb5fb23c7e73ea716b929c4826e91640363aa0f93512c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753468f91bfdf307878791e102ddb318ddb2f0c2d1b462279d546e0482d33280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-11-04T20:01:57Z",
    "title_canon_sha256": "c6b9cdc9bdc64f41cd8bc8c3e3d5caf9851adc41d13ad5550ca2a51a46adf485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1027",
    "kind": "arxiv",
    "version": 2
  }
}