Pith Number

pith:3FPHQZWH

pith:2020:3FPHQZWHEDZNAODOBNBZCK6F2Z

not attested not anchored not stored refs pending

Weak Solutions to the Collision-Induced Breakage Equation with Dominating Coagulation

Ankik Kumar Giri, Philippe Lauren\c{c}ot (IMT)

arxiv:2006.09696 v2 · 2020-06-17 · 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{3FPHQZWHEDZNAODOBNBZCK6F2Z}

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	2026-07-05T03:19:59.022980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95e7866c720f2d0386e0b43912bc5d64ffc717c86e6eed328e4d1c065412c11

Aliases

arxiv: 2006.09696 · arxiv_version: 2006.09696v2 · doi: 10.48550/arxiv.2006.09696 · pith_short_12: 3FPHQZWHEDZN · pith_short_16: 3FPHQZWHEDZNAODO · pith_short_8: 3FPHQZWH

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/3FPHQZWHEDZNAODOBNBZCK6F2Z \
  | 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: d95e7866c720f2d0386e0b43912bc5d64ffc717c86e6eed328e4d1c065412c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d7e52f88dcb7125d4f55ff53d14cc8471c725b2d3e60a44eb6e8feff252a13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-06-17T07:47:17Z",
    "title_canon_sha256": "38f3a925a6c53017aa596d7f93a9c3dcb9a54449a9d2e7904f04451e95e942fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.09696",
    "kind": "arxiv",
    "version": 2
  }
}