Pith Number

pith:IBVK23E2

pith:2011:IBVK23E2FXXT6VXDGYZ27ASXI2

not attested not anchored not stored refs pending

Weak solutions to the continuous coagulation equation with multiple fragmentation

Ankik Kumar Giri, Gerald Warnecke, Philippe Laurencot (IMT)

arxiv:1101.4169 v1 · 2011-01-21 · 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{IBVK23E2FXXT6VXDGYZ27ASXI2}

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	2026-05-18T04:31:12.606253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406aad6c9a2def3f56e33633af825746a5c75199dfaae6909c9dd41c7ad4ad00

Aliases

arxiv: 1101.4169 · arxiv_version: 1101.4169v1 · doi: 10.48550/arxiv.1101.4169 · pith_short_12: IBVK23E2FXXT · pith_short_16: IBVK23E2FXXT6VXD · pith_short_8: IBVK23E2

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/IBVK23E2FXXT6VXDGYZ27ASXI2 \
  | 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: 406aad6c9a2def3f56e33633af825746a5c75199dfaae6909c9dd41c7ad4ad00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e16bcdb1ea0772bfb0cf79d6bb38f588a5f6d5aed645af3af9817474d79a0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-21T15:58:48Z",
    "title_canon_sha256": "9254eefa21e79d7d417922c7dfc7a01857e3f44e80712197aa7ac8c14b53ff2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4169",
    "kind": "arxiv",
    "version": 1
  }
}