Pith Number

pith:RYJN2MOD

pith:2022:RYJN2MODVM3GHXI2V6NNCN4JV4

not attested not anchored not stored refs pending

Global existence to the discrete Safronov-Dubovski\v{i} coagulation equations and failure of mass-conservation

Ankik Kumar Giri, Mashkoor Ali

arxiv:2207.12094 v1 · 2022-07-08 · 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{RYJN2MODVM3GHXI2V6NNCN4JV4}

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	2026-07-05T04:43:13.202268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e12dd31c3ab3663dd1aaf9ad13789af13dc42514210e50f83c8436b4bd8b8e1

Aliases

arxiv: 2207.12094 · arxiv_version: 2207.12094v1 · doi: 10.48550/arxiv.2207.12094 · pith_short_12: RYJN2MODVM3G · pith_short_16: RYJN2MODVM3GHXI2 · pith_short_8: RYJN2MOD

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/RYJN2MODVM3GHXI2V6NNCN4JV4 \
  | 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: 8e12dd31c3ab3663dd1aaf9ad13789af13dc42514210e50f83c8436b4bd8b8e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11697054ed0038293773c838236eb6ec631185cf44c447b4964bd3082e21e2b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-08T06:06:56Z",
    "title_canon_sha256": "276feeb548281d4a52c446354524792e79288161833000cf8db92d0c314c8415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.12094",
    "kind": "arxiv",
    "version": 1
  }
}