Pith Number

pith:PRQPBP77

pith:2008:PRQPBP77PPVFTFHQ4DUQPJGYFK

not attested not anchored not stored refs pending

A closer look at time averages of the logistic map at the edge of chaos

Christian Beck, Constantino Tsallis, Ugur Tirnakli

arxiv:0802.1138 v3 · 2008-02-08 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRQPBP77PPVFTFHQ4DUQPJGYFK}

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	2026-05-18T02:16:01.212719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c60f0bfff7bea5994f0e0e907a4d82a8531cb4b0be66f27f60fc7d7ed34b34a

Aliases

arxiv: 0802.1138 · arxiv_version: 0802.1138v3 · doi: 10.48550/arxiv.0802.1138 · pith_short_12: PRQPBP77PPVF · pith_short_16: PRQPBP77PPVFTFHQ · pith_short_8: PRQPBP77

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/PRQPBP77PPVFTFHQ4DUQPJGYFK \
  | 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: 7c60f0bfff7bea5994f0e0e907a4d82a8531cb4b0be66f27f60fc7d7ed34b34a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ffd6e3a3a4a3399d8bc15e09124db3dad4705f2cb62555427e888132f68c351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-02-08T12:50:43Z",
    "title_canon_sha256": "b21c139a69ed48e2d6dca520e2b3a60fc700c257a45f69629a0bd37ae95719ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1138",
    "kind": "arxiv",
    "version": 3
  }
}