Pith Number

pith:ATRWHWE7

pith:2011:ATRWHWE7GLR74PZS7RXTWJ4H56

not attested not anchored not stored refs pending

A General Inverse Problem for the Growth-Fragmentation Equation

Leon M. Null Tine (INRIA Lille - Nord Europe, LJLL), LPP, Marie Doumic Jauffret (INRIA Rocquencourt, UFR SAT)

arxiv:1110.4798 v1 · 2011-10-21 · 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{ATRWHWE7GLR74PZS7RXTWJ4H56}

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	2026-05-18T03:36:06.556644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e363d89f32e3fe3f32fc6f3b2787efa4dd8b0f0f43dad2412b4c3dade718e8

Aliases

arxiv: 1110.4798 · arxiv_version: 1110.4798v1 · doi: 10.48550/arxiv.1110.4798 · pith_short_12: ATRWHWE7GLR7 · pith_short_16: ATRWHWE7GLR74PZS · pith_short_8: ATRWHWE7

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/ATRWHWE7GLR74PZS7RXTWJ4H56 \
  | 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: 04e363d89f32e3fe3f32fc6f3b2787efa4dd8b0f0f43dad2412b4c3dade718e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f08f4985682ffa3f99c20f2a891a1ea3d8a8f5ef3eebaa47283261323b46451a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-21T14:05:28Z",
    "title_canon_sha256": "7da0081ead1faa5b8c2cd1dc71bc39d3764645110e724ca0c6ae68b3d8d4a577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4798",
    "kind": "arxiv",
    "version": 1
  }
}