Pith Number

pith:LSW7XIWH

pith:2016:LSW7XIWHCBE4GMZ62ZWDYCCKCR

not attested not anchored not stored refs pending

Applications of improved duality lemmas to the discrete coagulation-fragmentation equations with diffusion

Maxime Breden

arxiv:1606.07661 v2 · 2016-06-24 · 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{LSW7XIWHCBE4GMZ62ZWDYCCKCR}

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	2026-05-18T00:50:09.629119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cadfba2c71049c3333ed66c3c084a145867d9f99a87bf3d8625904e5824213a

Aliases

arxiv: 1606.07661 · arxiv_version: 1606.07661v2 · doi: 10.48550/arxiv.1606.07661 · pith_short_12: LSW7XIWHCBE4 · pith_short_16: LSW7XIWHCBE4GMZ6 · pith_short_8: LSW7XIWH

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/LSW7XIWHCBE4GMZ62ZWDYCCKCR \
  | 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: 5cadfba2c71049c3333ed66c3c084a145867d9f99a87bf3d8625904e5824213a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e330e2706de2f29f934d0fcb6a1cd1bfd4a75ed6e9ec0df79887f04281893fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-24T12:43:36Z",
    "title_canon_sha256": "89bfd5b5c51d554f34805466a4e7af3d61b99ad9fad11f3ed8403494ad67c606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07661",
    "kind": "arxiv",
    "version": 2
  }
}