Pith Number

pith:IK7KUYPD

pith:2011:IK7KUYPDEY7VJL5DCA7OAJKTET

not attested not anchored not stored refs pending

The Mesoscopic category, Automata and Tropical Geometry

Roland Friedrich, Tsuyoshi Kato

arxiv:1111.2832 v1 · 2011-11-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IK7KUYPDEY7VJL5DCA7OAJKTET}

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	2026-05-18T04:08:24.953482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42beaa61e3263f54afa3103ee0255324d7888ae4eac20ba5872108d1f7f61e25

Aliases

arxiv: 1111.2832 · arxiv_version: 1111.2832v1 · doi: 10.48550/arxiv.1111.2832 · pith_short_12: IK7KUYPDEY7V · pith_short_16: IK7KUYPDEY7VJL5D · pith_short_8: IK7KUYPD

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/IK7KUYPDEY7VJL5DCA7OAJKTET \
  | 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: 42beaa61e3263f54afa3103ee0255324d7888ae4eac20ba5872108d1f7f61e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48aaac908504bc812f604ae41ad62b39df003df9382fcc9b095f77b5944df23",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-11T19:46:45Z",
    "title_canon_sha256": "1d65f0b579dbd09d22e333676f2226271da835fc787d646bf9999e144586eb18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2832",
    "kind": "arxiv",
    "version": 1
  }
}