Pith Number

pith:MKKUBFEF

pith:2019:MKKUBFEFHTU6QMEN5K2X5VU6AF

not attested not anchored not stored refs pending

Solutions with peaks for a coagulation-fragmentation equation. Part I: stability of the tails

Barbara Niethammer, Juan Vel\'azquez, Marco Bonacini

arxiv:1906.08965 v1 · 2019-06-21 · 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{MKKUBFEFHTU6QMEN5K2X5VU6AF}

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	2026-05-17T23:42:47.237609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62954094853ce9e8308deab57ed69e01482f895498954af1a75896185688d0a2

Aliases

arxiv: 1906.08965 · arxiv_version: 1906.08965v1 · doi: 10.48550/arxiv.1906.08965 · pith_short_12: MKKUBFEFHTU6 · pith_short_16: MKKUBFEFHTU6QMEN · pith_short_8: MKKUBFEF

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/MKKUBFEFHTU6QMEN5K2X5VU6AF \
  | 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: 62954094853ce9e8308deab57ed69e01482f895498954af1a75896185688d0a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76d81efc45421c5a4188bf8785c67059e27d59af148808f14fa3526cc18280e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-21T06:12:59Z",
    "title_canon_sha256": "ddaaed7b2460fc16b1b90e1b06b0ccdb6bf6848fac801b0142e7bc7faa09d6c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08965",
    "kind": "arxiv",
    "version": 1
  }
}