Pith Number

pith:HJGRKH25

pith:2019:HJGRKH25IJOQBAYWINXK5Q44L7

not attested not anchored not stored refs pending

Stationary solutions to coagulation-fragmentation equations

Philippe Lauren\c{c}ot (IMT)

arxiv:1904.01868 v1 · 2019-04-03 · 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{HJGRKH25IJOQBAYWINXK5Q44L7}

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	2026-05-17T23:49:29.411886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4d151f5d425d008316436eaec39c5ffad0b49aa63810c3b18ef821dd8cc934

Aliases

arxiv: 1904.01868 · arxiv_version: 1904.01868v1 · doi: 10.48550/arxiv.1904.01868 · pith_short_12: HJGRKH25IJOQ · pith_short_16: HJGRKH25IJOQBAYW · pith_short_8: HJGRKH25

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/HJGRKH25IJOQBAYWINXK5Q44L7 \
  | 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: 3a4d151f5d425d008316436eaec39c5ffad0b49aa63810c3b18ef821dd8cc934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ea604dd160adb45c655c61130bce0f1754051c397efee969637266cd10802d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-03T09:18:55Z",
    "title_canon_sha256": "91993999d5817b8eabde6f662cc613ea0ee6fea33afe1094e600320cc803b7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01868",
    "kind": "arxiv",
    "version": 1
  }
}