Pith Number

pith:6TC5UH45

pith:2022:6TC5UH456YC4ZZRI6OTM4DMYJC

not attested not anchored not stored refs pending

Well-posedness to the discrete collision-induced breakage equation and various properties of solutions

Ankik Kumar Giri, Mashkoor Ali, Philippe Laurencot

arxiv:2209.15411 v3 · 2022-09-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TC5UH456YC4ZZRI6OTM4DMYJC}

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	2026-07-05T05:35:46.565226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c5da1f9df605cce628f3a6ce0d984888317a17299ce85f1cdaf11461328bd3

Aliases

arxiv: 2209.15411 · arxiv_version: 2209.15411v3 · doi: 10.48550/arxiv.2209.15411 · pith_short_12: 6TC5UH456YC4 · pith_short_16: 6TC5UH456YC4ZZRI · pith_short_8: 6TC5UH45

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/6TC5UH456YC4ZZRI6OTM4DMYJC \
  | 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: f4c5da1f9df605cce628f3a6ce0d984888317a17299ce85f1cdaf11461328bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3910d6d23ee2e1082a772f0499408d5a4e842b2f73f62e031fa1b494126f4de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-09-30T12:16:59Z",
    "title_canon_sha256": "fdd16b5c290a0e565def786184f41d6cf9ac917fcaca03e24faddbf6f660cc86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.15411",
    "kind": "arxiv",
    "version": 3
  }
}