Pith Number

pith:KCNC24V3

pith:2012:KCNC24V34T4OBQOBBXK7AQHQZN

not attested not anchored not stored refs pending

Cyclic Network Automata and Cohomological Waves

Robert Ghrist, Yiqing Cai

arxiv:1210.5232 v1 · 2012-10-18 · math.AT · cs.NI · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCNC24V34T4OBQOBBXK7AQHQZN}

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	2026-05-18T03:42:53.560425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509a2d72bbe4f8e0c1c10dd5f040f0cb63f94bf62b85e13fc08e639d9750b32a

Aliases

arxiv: 1210.5232 · arxiv_version: 1210.5232v1 · doi: 10.48550/arxiv.1210.5232 · pith_short_12: KCNC24V34T4O · pith_short_16: KCNC24V34T4OBQOB · pith_short_8: KCNC24V3

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/KCNC24V34T4OBQOBBXK7AQHQZN \
  | 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: 509a2d72bbe4f8e0c1c10dd5f040f0cb63f94bf62b85e13fc08e639d9750b32a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a733522d0a56ff01fea14e5c37dfbd495764ba90f3cec27de1b583cc264b971a",
    "cross_cats_sorted": [
      "cs.NI",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-18T19:38:33Z",
    "title_canon_sha256": "155bfddbbd7e3736eaf65bd606b0dda4e4fe9f7d580581380666e1778f7c3871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5232",
    "kind": "arxiv",
    "version": 1
  }
}