Pith Number

pith:MDFNQIJR

pith:2016:MDFNQIJRLCNHZFCPLI76G4IZGH

not attested not anchored not stored refs pending

Calculating algebraic entropies: an express method

Alfred Ramani, Basil Grammaticos, Ralph Willox, Takafumi Mase

arxiv:1611.05111 v2 · 2016-11-16 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDFNQIJRLCNHZFCPLI76G4IZGH}

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	2026-05-18T00:45:45.335592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60cad82131589a7c944f5a3fe3711931cc9b8136c0870368b91bd0268223d569

Aliases

arxiv: 1611.05111 · arxiv_version: 1611.05111v2 · doi: 10.48550/arxiv.1611.05111 · pith_short_12: MDFNQIJRLCNH · pith_short_16: MDFNQIJRLCNHZFCP · pith_short_8: MDFNQIJR

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/MDFNQIJRLCNHZFCPLI76G4IZGH \
  | 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: 60cad82131589a7c944f5a3fe3711931cc9b8136c0870368b91bd0268223d569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03777ce31391a0d4ec2291d18a66f24aa01b92bfce28307db89d610d30fbaa48",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-16T01:23:01Z",
    "title_canon_sha256": "d5f3aee6d900c2c6f274756d3a42f16c949841a8b2c189f547998c7c5c7d0d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05111",
    "kind": "arxiv",
    "version": 2
  }
}