pith. sign in
Pith Number

pith:V3J7JZMM

pith:2015:V3J7JZMMMGQ43C7UWILZKUXVIF
not attested not anchored not stored refs pending

A Compositional Explanation of the Pet Fish Phenomenon

Bob Coecke, Martha Lewis

arxiv:1509.06594 v1 · 2015-09-22 · cs.AI · cs.CL · math.CT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V3J7JZMMMGQ43C7UWILZKUXVIF}

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 2026-05-18T01:32:19.812716Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aed3f4e58c61a1cd8bf4b2179552f54161e3ba1fe2c80b675174bd0c97ce14d8

Aliases

arxiv: 1509.06594 · arxiv_version: 1509.06594v1 · doi: 10.48550/arxiv.1509.06594 · pith_short_12: V3J7JZMMMGQ4 · pith_short_16: V3J7JZMMMGQ43C7U · pith_short_8: V3J7JZMM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V3J7JZMMMGQ43C7UWILZKUXVIF \
  | 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: aed3f4e58c61a1cd8bf4b2179552f54161e3ba1fe2c80b675174bd0c97ce14d8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5747ecdfcb456a379ccf12c4cc3a49be70dd72ccb83d8b826d2e5c3e172c1157",
    "cross_cats_sorted": [
      "cs.CL",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2015-09-22T13:33:34Z",
    "title_canon_sha256": "3d9f4e3ab20f975138b81f78bb3858cf4991ab1908d1e334909b8f579b9641e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06594",
    "kind": "arxiv",
    "version": 1
  }
}