Pith Number

pith:Y2C5AEXN

pith:2019:Y2C5AEXN2NQ36B356VKC7RSPAO

not attested not anchored not stored refs pending

A Theory of Discrete Hierarchies as Optimal Cost-Adjusted Productivity Organisations

Didier Sornette, Sandro Claudio Lera

arxiv:1904.09267 v1 · 2019-04-19 · physics.soc-ph · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2C5AEXN2NQ36B356VKC7RSPAO}

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	2026-05-17T23:43:02.492716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c685d012edd361bf077df5542fc64f03910f4e271d237d80f17d1ad7d68a9e60

Aliases

arxiv: 1904.09267 · arxiv_version: 1904.09267v1 · doi: 10.48550/arxiv.1904.09267 · pith_short_12: Y2C5AEXN2NQ3 · pith_short_16: Y2C5AEXN2NQ36B35 · pith_short_8: Y2C5AEXN

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/Y2C5AEXN2NQ36B356VKC7RSPAO \
  | 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: c685d012edd361bf077df5542fc64f03910f4e271d237d80f17d1ad7d68a9e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc7f186329c38d98cb997ea73e8d1edeb7b1c8567c313fa839b23ea55faba430",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-04-19T17:08:20Z",
    "title_canon_sha256": "5baf4a43701982adcbc0fcd938b65374492f4f97c969c2e238aa6f7139105a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09267",
    "kind": "arxiv",
    "version": 1
  }
}