Pith Number

pith:4VXUCNMN

pith:2015:4VXUCNMN7QDORZOVLLSFGTW7T4

not attested not anchored not stored refs pending

A coherence theorem for pseudonatural transformations

Maxime Lucas

arxiv:1508.07807 v2 · 2015-08-31 · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VXUCNMN7QDORZOVLLSFGTW7T4}

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	2026-05-18T00:54:41.471776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56f41358dfc06e8e5d55ae4534edf9f2f332fbf0e997f94533896ece590df02

Aliases

arxiv: 1508.07807 · arxiv_version: 1508.07807v2 · doi: 10.48550/arxiv.1508.07807 · pith_short_12: 4VXUCNMN7QDO · pith_short_16: 4VXUCNMN7QDORZOV · pith_short_8: 4VXUCNMN

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/4VXUCNMN7QDORZOVLLSFGTW7T4 \
  | 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: e56f41358dfc06e8e5d55ae4534edf9f2f332fbf0e997f94533896ece590df02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5714f566c32ad553a1241bf75a5db52b2856ad78751c674d4fa13187a7b2a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-08-31T13:01:10Z",
    "title_canon_sha256": "c13502b415f38fadbf65e23c7de4a3d6f8cce5dc99ddb5e4fa47b375b8609705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07807",
    "kind": "arxiv",
    "version": 2
  }
}