Pith Number

pith:3JKVJZLF

pith:2026:3JKVJZLF6ZZOCZUYN3XQRT5CFU

not attested not anchored not stored refs pending

Fragmentation-coagulation processes with advection or diffusion in space

Jacek Banasiak, Nduduzo Majozi

arxiv:2601.01453 v2 · 2026-01-04 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JKVJZLF6ZZOCZUYN3XQRT5CFU}

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.

Cited by

1 paper in Pith

Local and global solutions to continuous fragmentation-coagulation equations with vanishing diffusion and unbounded fragmentation and coagulation rates

Receipt and verification

First computed	2026-06-01T01:02:28.314860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da5554e565f672e166986eef08cfa22d2d7763d3dcd86cee47671b9e61e19e17

Aliases

arxiv: 2601.01453 · arxiv_version: 2601.01453v2 · doi: 10.48550/arxiv.2601.01453 · pith_short_12: 3JKVJZLF6ZZO · pith_short_16: 3JKVJZLF6ZZOCZUY · pith_short_8: 3JKVJZLF

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/3JKVJZLF6ZZOCZUYN3XQRT5CFU \
  | 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: da5554e565f672e166986eef08cfa22d2d7763d3dcd86cee47671b9e61e19e17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "433d7f0ea5d2560ed66a9a7124a446d0193f4c795edfaa75a0a250610232cc7c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-01-04T09:39:36Z",
    "title_canon_sha256": "133970bb49470ea15baab12af627e9b963efe1610421fc955db00bfa6e427fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.01453",
    "kind": "arxiv",
    "version": 2
  }
}