Pith Number

pith:GAZK2AKK

pith:2013:GAZK2AKKCQNI6FSW5IU2FNZN5O

not attested not anchored not stored refs pending

Coupled cell networks and their hidden symmetries

Bob Rink, Jan Sanders

arxiv:1304.1460 v1 · 2013-04-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAZK2AKKCQNI6FSW5IU2FNZN5O}

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	2026-05-18T03:28:56.694363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3032ad014a141a8f1656ea29a2b72deba75ab2aef2cc15c57c2461f08b5f0382

Aliases

arxiv: 1304.1460 · arxiv_version: 1304.1460v1 · doi: 10.48550/arxiv.1304.1460 · pith_short_12: GAZK2AKKCQNI · pith_short_16: GAZK2AKKCQNI6FSW · pith_short_8: GAZK2AKK

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/GAZK2AKKCQNI6FSW5IU2FNZN5O \
  | 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: 3032ad014a141a8f1656ea29a2b72deba75ab2aef2cc15c57c2461f08b5f0382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ffb98706ddddbd6f148a5bd1630ab224e67851f14319677fb1d27c43fb193a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-04T18:32:50Z",
    "title_canon_sha256": "8b8b98eddd8a36e87c9beb5943b5b1c8738139c378ffed5dcf9677167d78fd8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1460",
    "kind": "arxiv",
    "version": 1
  }
}