Pith Number

pith:BZBCF4PM

pith:2018:BZBCF4PM25XHNSDSGVWPCEBNFL

not attested not anchored not stored refs pending

Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage

Ankik Kumar Giri, Prasanta Kumar Barik

arxiv:1806.03911 v1 · 2018-06-11 · 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{BZBCF4PM25XHNSDSGVWPCEBNFL}

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	2026-05-18T00:13:41.548719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e4222f1ecd76e76c872356cf1102d2ac304498d7679ae4d7a26f77a329ff9f2

Aliases

arxiv: 1806.03911 · arxiv_version: 1806.03911v1 · doi: 10.48550/arxiv.1806.03911 · pith_short_12: BZBCF4PM25XH · pith_short_16: BZBCF4PM25XHNSDS · pith_short_8: BZBCF4PM

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/BZBCF4PM25XHNSDSGVWPCEBNFL \
  | 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: 0e4222f1ecd76e76c872356cf1102d2ac304498d7679ae4d7a26f77a329ff9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d73b3001ffffdeda3f57de36c5de6efa7d02ee233f18b83e2aad20635f07fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-11T11:19:51Z",
    "title_canon_sha256": "ad4435634458ce336fc5207699df15bfe003da00b9102ae64cc7745c97ba7802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03911",
    "kind": "arxiv",
    "version": 1
  }
}