Pith Number

pith:APNLFKVI

pith:2015:APNLFKVICMYULFAJYXDJQIIRN4

not attested not anchored not stored refs pending

Topological Entropy on Points without Physical-like Behaviour

Edson Vargas, Eleonora Catsigeras, Xueting Tian

arxiv:1512.01982 v2 · 2015-12-07 · math.DS · 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{APNLFKVICMYULFAJYXDJQIIRN4}

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	2026-05-17T23:57:54.456302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03dab2aaa81331459409c5c69821116f02513ba56de4c60939736b7ef0ec14c6

Aliases

arxiv: 1512.01982 · arxiv_version: 1512.01982v2 · doi: 10.48550/arxiv.1512.01982 · pith_short_12: APNLFKVICMYU · pith_short_16: APNLFKVICMYULFAJ · pith_short_8: APNLFKVI

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/APNLFKVICMYULFAJYXDJQIIRN4 \
  | 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: 03dab2aaa81331459409c5c69821116f02513ba56de4c60939736b7ef0ec14c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b8168fd91d45333795daed5685633f3f6d209f3efa4bb1abf48ee52edca5a8b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-07T11:14:52Z",
    "title_canon_sha256": "cfd604be7050ba4343f0df343eda5057c5bd7934cbe9834df540dc71e1b124f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01982",
    "kind": "arxiv",
    "version": 2
  }
}