Pith Number

pith:YPK3EPOU

pith:2018:YPK3EPOUMQCHXTQR2JG2FPZUP6

not attested not anchored not stored refs pending

Global classical solutions to the continuous coagulation equation with collisional breakage

Ankik Kumar Giri, Prasanta Kumar Barik

arxiv:1808.07130 v1 · 2018-08-21 · 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{YPK3EPOUMQCHXTQR2JG2FPZUP6}

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	2026-05-18T00:07:29.874488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d5b23dd464047bce11d24da2bf347f8052196ab29dc62763111303f270f812

Aliases

arxiv: 1808.07130 · arxiv_version: 1808.07130v1 · doi: 10.48550/arxiv.1808.07130 · pith_short_12: YPK3EPOUMQCH · pith_short_16: YPK3EPOUMQCHXTQR · pith_short_8: YPK3EPOU

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/YPK3EPOUMQCHXTQR2JG2FPZUP6 \
  | 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: c3d5b23dd464047bce11d24da2bf347f8052196ab29dc62763111303f270f812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a7791362292b3f92b33405e40a3b0ffc01f4af57e50881dd1b73d09cc2287f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-21T21:11:37Z",
    "title_canon_sha256": "8b53d4e2da915d22895f021cc3cabf0d645a9d7f972c8ac56b63a5af0afe8364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07130",
    "kind": "arxiv",
    "version": 1
  }
}