Pith Number

pith:P5TRHZII

pith:2018:P5TRHZII5ESJQHEZTFFGRKNAYC

not attested not anchored not stored refs pending

The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation

Jacek Banasiak, Luke O. Joel, Sergey Shindin

arxiv:1809.00046 v1 · 2018-08-31 · math.DS · math.CA · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5TRHZII5ESJQHEZTFFGRKNAYC}

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	2026-05-18T00:06:36.324963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6713e508e924981c99994a68a9a0c0811e247d3bf025a02bc81f816ab078f6

Aliases

arxiv: 1809.00046 · arxiv_version: 1809.00046v1 · doi: 10.48550/arxiv.1809.00046 · pith_short_12: P5TRHZII5ESJ · pith_short_16: P5TRHZII5ESJQHEZ · pith_short_8: P5TRHZII

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/P5TRHZII5ESJQHEZTFFGRKNAYC \
  | 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: 7f6713e508e924981c99994a68a9a0c0811e247d3bf025a02bc81f816ab078f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4a709bd8d6c681e33c26340b4c1089926232c49633f6087d0ce09b157e8c64",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-31T20:15:43Z",
    "title_canon_sha256": "1053e3b9298f60eaf73c22bd849449ef0a7770103ce333cb4d74280c1b452e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00046",
    "kind": "arxiv",
    "version": 1
  }
}