Pith Number

pith:YC5KGF57

pith:2018:YC5KGF57FXXECVGK33NBDHARXY

not attested not anchored not stored refs pending

Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation

Emil Wiedemann, Marie Doumic (MAMBA, Piotr Gwiazda, Tomasz D\k{e}biec (MIMUW), WPI)

arxiv:1804.03538 v1 · 2018-04-10 · 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{YC5KGF57FXXECVGK33NBDHARXY}

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	2026-05-18T00:18:47.787610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0baa317bf2dee4154cadeda119c11be1c57b9f30fe9ffeb023685b236bb8a9b

Aliases

arxiv: 1804.03538 · arxiv_version: 1804.03538v1 · doi: 10.48550/arxiv.1804.03538 · pith_short_12: YC5KGF57FXXE · pith_short_16: YC5KGF57FXXECVGK · pith_short_8: YC5KGF57

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/YC5KGF57FXXECVGK33NBDHARXY \
  | 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: c0baa317bf2dee4154cadeda119c11be1c57b9f30fe9ffeb023685b236bb8a9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7829c236fb821bd0f217c2d6d77ecbcbc19d8ec9a0b3b30335d03dabba87d3b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-10T13:51:38Z",
    "title_canon_sha256": "7563dcbb6cb474dd0ae8b5e9d8cf65b77ed1769065d949e55dcdd9fe320b35a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03538",
    "kind": "arxiv",
    "version": 1
  }
}