Pith Number

pith:ZH7MTDLV

pith:2012:ZH7MTDLVOWBTKDCEPRVTELJ7IM

not attested not anchored not stored refs pending

Coupled cell networks: semigroups, Lie algebras and normal forms

Bob Rink, Jan Sanders

arxiv:1209.3209 v1 · 2012-09-14 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZH7MTDLVOWBTKDCEPRVTELJ7IM}

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	2026-05-18T03:45:32.507941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fec98d757583350c447c6b322d3f433e1d4fa5d5ba7e06cff514797c25e5e0

Aliases

arxiv: 1209.3209 · arxiv_version: 1209.3209v1 · doi: 10.48550/arxiv.1209.3209 · pith_short_12: ZH7MTDLVOWBT · pith_short_16: ZH7MTDLVOWBTKDCE · pith_short_8: ZH7MTDLV

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/ZH7MTDLVOWBTKDCEPRVTELJ7IM \
  | 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: c9fec98d757583350c447c6b322d3f433e1d4fa5d5ba7e06cff514797c25e5e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1e503e7cc7ca22fb5d2f3cd345b4561d71f0f14ee5a3cc3c33fc833432ffd1",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-14T14:58:16Z",
    "title_canon_sha256": "add6e2e2fa64645d91ab42ce2a8c06cdb1d67d4ee3090f97bb3025ecfe919c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3209",
    "kind": "arxiv",
    "version": 1
  }
}