Pith Number

pith:B3MVO2BB

pith:2010:B3MVO2BBXT7ZWQ2FJKVF6TO5WL

not attested not anchored not stored refs pending

Energy efficiency of consecutive fragmentation processes

Joaquin Fontbona, Nathalie Krell (IRMAR), Servet Martinez

arxiv:1002.3460 v1 · 2010-02-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3MVO2BBXT7ZWQ2FJKVF6TO5WL}

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	2026-05-18T00:56:58.478888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed9576821bcff9b43454aaa5f4dddb2c0775bd47a4a62d3dc6ed9659efb6f75

Aliases

arxiv: 1002.3460 · arxiv_version: 1002.3460v1 · doi: 10.48550/arxiv.1002.3460 · pith_short_12: B3MVO2BBXT7Z · pith_short_16: B3MVO2BBXT7ZWQ2F · pith_short_8: B3MVO2BB

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/B3MVO2BBXT7ZWQ2FJKVF6TO5WL \
  | 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: 0ed9576821bcff9b43454aaa5f4dddb2c0775bd47a4a62d3dc6ed9659efb6f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280a656b652866a060ed6cee05edb201bb89ba29f24a0b910f6afa24f94fe09b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-02-18T09:27:10Z",
    "title_canon_sha256": "a3f1db7cf33dc9b827fc121ce6df40b8fc931591e54f2d0d00e620f1f71409af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3460",
    "kind": "arxiv",
    "version": 1
  }
}