Pith Number

pith:32EW2SMW

pith:2026:32EW2SMW43WI55WSDXS3323E7S

not attested not anchored not stored refs pending

A convexity-type invariant for the critical coagulation--fragmentation Hamilton--Jacobi equation

Truong-Son P. Van

arxiv:2607.02293 v1 · 2026-07-02 · 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{32EW2SMW43WI55WSDXS3323E7S}

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	2026-07-03T01:17:47.729421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de896d4996e6ec8ef6d21de5bdeb64fc8b14b9539d05b14eb47e001f664488c2

Aliases

arxiv: 2607.02293 · arxiv_version: 2607.02293v1 · doi: 10.48550/arxiv.2607.02293 · pith_short_12: 32EW2SMW43WI · pith_short_16: 32EW2SMW43WI55WS · pith_short_8: 32EW2SMW

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/32EW2SMW43WI55WSDXS3323E7S \
  | 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: de896d4996e6ec8ef6d21de5bdeb64fc8b14b9539d05b14eb47e001f664488c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "265c351902b4475b64cf51ea7749502012a52f56ba8b5ef23d6629e483b32820",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-02T15:11:24Z",
    "title_canon_sha256": "fcecf6a4af3ff656245547dd8c392fad16a22ddbd3bcc329bedbb56baa8cdf43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02293",
    "kind": "arxiv",
    "version": 1
  }
}