Pith Number

pith:7N4EAPQW

pith:2010:7N4EAPQWG4FOBIAJYQLLBQ4QGS

not attested not anchored not stored refs pending

Self-similarity in a General Aggregation-Fragmentation Problem ; Application to Fitness Analysis

INRIA Rocquencourt), Marie Doumic Jauffret (LJLL, Pierre Gabriel (LJLL), Vincent Calvez (UMPA-ENSL)

arxiv:1011.5468 v2 · 2010-11-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7N4EAPQWG4FOBIAJYQLLBQ4QGS}

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	2026-05-17T23:52:34.587864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb78403e16370ae0a009c416b0c39034aff8b309378da42cd52c8e093decb8dd

Aliases

arxiv: 1011.5468 · arxiv_version: 1011.5468v2 · doi: 10.48550/arxiv.1011.5468 · pith_short_12: 7N4EAPQWG4FO · pith_short_16: 7N4EAPQWG4FOBIAJ · pith_short_8: 7N4EAPQW

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/7N4EAPQWG4FOBIAJYQLLBQ4QGS \
  | 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: fb78403e16370ae0a009c416b0c39034aff8b309378da42cd52c8e093decb8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5fdafe8f2f80daf3a03ee01516c186f38a9feb48467551955c2e9a196fe878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-24T19:53:01Z",
    "title_canon_sha256": "186a68c797851f2d5bd684d3518111686f336e026791c71edc43af293eeefe25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5468",
    "kind": "arxiv",
    "version": 2
  }
}