Pith Number

pith:ITTMMMGL

pith:2025:ITTMMMGLEZJO7Z5XQ2WAKNW5XE

not attested not anchored not stored refs pending

Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer

Mashkoor Ali, Philippe Lauren\c{c}ot (LAMA)

arxiv:2507.06685 v1 · 2025-07-09 · 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{ITTMMMGLEZJO7Z5XQ2WAKNW5XE}

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	2026-07-05T11:34:21.217734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e6c630cb2652efe7b786ac0536ddb93b9de34593bc7bff4c57fd793c4ec37e

Aliases

arxiv: 2507.06685 · arxiv_version: 2507.06685v1 · doi: 10.48550/arxiv.2507.06685 · pith_short_12: ITTMMMGLEZJO · pith_short_16: ITTMMMGLEZJO7Z5X · pith_short_8: ITTMMMGL

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/ITTMMMGLEZJO7Z5XQ2WAKNW5XE \
  | 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: 44e6c630cb2652efe7b786ac0536ddb93b9de34593bc7bff4c57fd793c4ec37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a62f6e2c555902ccd4b7414618377271fbed9b18f05bd23e459be985e243c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-09T09:23:24Z",
    "title_canon_sha256": "2fc603c2c04387286b3339e6b29da7e734caae7947a5908a5e07d1cd7cd2dec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06685",
    "kind": "arxiv",
    "version": 1
  }
}