Pith Number

pith:YQFMSK7A

pith:2015:YQFMSK7ANJLTF5BWNGDANA5DO6

not attested not anchored not stored refs pending

From symplectic groupoids to double structures

Kirill Mackenzie

arxiv:1503.04481 v1 · 2015-03-15 · math.SG · 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{YQFMSK7ANJLTF5BWNGDANA5DO6}

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	2026-05-18T02:23:24.914971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40ac92be06a5732f43669860683a377be0108e84d9bd7c2a598d7cb8bbab9a7

Aliases

arxiv: 1503.04481 · arxiv_version: 1503.04481v1 · doi: 10.48550/arxiv.1503.04481 · pith_short_12: YQFMSK7ANJLT · pith_short_16: YQFMSK7ANJLTF5BW · pith_short_8: YQFMSK7A

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/YQFMSK7ANJLTF5BWNGDANA5DO6 \
  | 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: c40ac92be06a5732f43669860683a377be0108e84d9bd7c2a598d7cb8bbab9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d365409c762714b2d0ad62d78f58497fcb65f4580e50bbeae9fc94e8a9dbd944",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-03-15T22:14:11Z",
    "title_canon_sha256": "d70eec0a59522b85af20ec9e7d16ccf95a076a50b6fbaf4ae0a3418d0b3d94a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04481",
    "kind": "arxiv",
    "version": 1
  }
}