Pith Number

pith:QNXCOKQZ

pith:2026:QNXCOKQZOT4ZAPLOC4AYPHKZJB

not attested not anchored not stored refs pending

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation

Mashkoor Ali

arxiv:2607.26167 v1 · 2026-07-28 · 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{QNXCOKQZOT4ZAPLOC4AYPHKZJB}

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	2026-07-30T00:08:36.974104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

836e272a1974f9903d6e1701879d59485a1da56ad3365b24c1382848a1ebfee3

Aliases

arxiv: 2607.26167 · arxiv_version: 2607.26167v1 · doi: 10.48550/arxiv.2607.26167 · pith_short_12: QNXCOKQZOT4Z · pith_short_16: QNXCOKQZOT4ZAPLO · pith_short_8: QNXCOKQZ

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/QNXCOKQZOT4ZAPLOC4AYPHKZJB \
  | 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: 836e272a1974f9903d6e1701879d59485a1da56ad3365b24c1382848a1ebfee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2fabd1566f339b8f5e18a02615e94417f4b44e9b7f2f467e8fb5c9c515c454e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-28T18:16:50Z",
    "title_canon_sha256": "6691e5d0e4aba6ade3ace413c82989d33a700019b0e52864ae9c79936430fcd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26167",
    "kind": "arxiv",
    "version": 1
  }
}