Pith Number

pith:FCK4GFO6

pith:2015:FCK4GFO6EOTV5IWJBLKGO4GU57

not attested not anchored not stored refs pending

Exact invariant measures: How the strength of measure settles the intensity of chaos

Roberto Venegeroles

arxiv:1506.03269 v2 · 2015-06-10 · nlin.CD · cond-mat.stat-mech · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCK4GFO6EOTV5IWJBLKGO4GU57}

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	2026-05-18T01:40:57.975888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2895c315de23a75ea2c90ad46770d4efca4c1492b9f33faccb481c1aff753100

Aliases

arxiv: 1506.03269 · arxiv_version: 1506.03269v2 · doi: 10.48550/arxiv.1506.03269 · pith_short_12: FCK4GFO6EOTV · pith_short_16: FCK4GFO6EOTV5IWJ · pith_short_8: FCK4GFO6

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/FCK4GFO6EOTV5IWJBLKGO4GU57 \
  | 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: 2895c315de23a75ea2c90ad46770d4efca4c1492b9f33faccb481c1aff753100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "960b088d737a6642a71c7f1af5dd1060eb479b9c994e0d75d95a3ddd4201647f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2015-06-10T12:15:25Z",
    "title_canon_sha256": "ed46e949163c328b7ad92a15b0a51f2e29b9bccd08b857ae13df3b19e19e4ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03269",
    "kind": "arxiv",
    "version": 2
  }
}