Pith Number

pith:JHWZJ64B

pith:2017:JHWZJ64BK67JHXTKL7KPB4UK7W

not attested not anchored not stored refs pending

Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation

Bruce Van Brunt, Marie Doumic (MAMBA)

arxiv:1704.06087 v2 · 2017-04-20 · 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{JHWZJ64BK67JHXTKL7KPB4UK7W}

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	2026-05-18T00:00:31.123221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ed94fb8157be93de6a5fd4f0f28afd86819f2e62e22604dd0d1a06e3242c7f

Aliases

arxiv: 1704.06087 · arxiv_version: 1704.06087v2 · doi: 10.48550/arxiv.1704.06087 · pith_short_12: JHWZJ64BK67J · pith_short_16: JHWZJ64BK67JHXTK · pith_short_8: JHWZJ64B

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/JHWZJ64BK67JHXTKL7KPB4UK7W \
  | 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: 49ed94fb8157be93de6a5fd4f0f28afd86819f2e62e22604dd0d1a06e3242c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4facf099f6d64c0a19c4865f94d793d317f9a0523bb1804bc8b39624423f6bdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-20T11:19:29Z",
    "title_canon_sha256": "cc4766bb5f1cbb81bb1a5454759262650b07c13840300108bf6f175ba5c212a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06087",
    "kind": "arxiv",
    "version": 2
  }
}