Pith Number

pith:PQ4NTFD6

pith:2018:PQ4NTFD644S2O54SKMG22PKI2I

not attested not anchored not stored refs pending

Weak solutions to the continuous coagulation model with collisional breakage

Ankik Kumar Giri, Prasanta Kumar Barik

arxiv:1805.10137 v1 · 2018-05-24 · 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{PQ4NTFD644S2O54SKMG22PKI2I}

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	2026-05-18T00:14:58.174765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c38d9947ee725a77792530dad3d48d21cada2e26d8957b9e9449b5ca27138a8

Aliases

arxiv: 1805.10137 · arxiv_version: 1805.10137v1 · doi: 10.48550/arxiv.1805.10137 · pith_short_12: PQ4NTFD644S2 · pith_short_16: PQ4NTFD644S2O54S · pith_short_8: PQ4NTFD6

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/PQ4NTFD644S2O54SKMG22PKI2I \
  | 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: 7c38d9947ee725a77792530dad3d48d21cada2e26d8957b9e9449b5ca27138a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a7ad6e28520d7c5f13e996817902e28f6652a83754c55b13589e299e3b65d59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-24T12:20:31Z",
    "title_canon_sha256": "2b85a9cb863d2afe9256bb3f9de7ad24d2e59504f0e99d05f161b7eac5eefca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10137",
    "kind": "arxiv",
    "version": 1
  }
}