Pith Number

pith:W6QUYDH4

pith:2011:W6QUYDH4ILVV3VB4XDEQDB35DG

not attested not anchored not stored refs pending

Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem

Constantin P. Niculescu, Ionel Roventa

arxiv:1107.5647 v1 · 2011-07-28 · math.CA · 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{W6QUYDH4ILVV3VB4XDEQDB35DG}

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	2026-05-18T04:16:41.629179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a14c0cfc42eb5dd43cb8c901877d1985a4a550889e719e2cf210c44818406b

Aliases

arxiv: 1107.5647 · arxiv_version: 1107.5647v1 · doi: 10.48550/arxiv.1107.5647 · pith_short_12: W6QUYDH4ILVV · pith_short_16: W6QUYDH4ILVV3VB4 · pith_short_8: W6QUYDH4

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/W6QUYDH4ILVV3VB4XDEQDB35DG \
  | 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: b7a14c0cfc42eb5dd43cb8c901877d1985a4a550889e719e2cf210c44818406b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d08fb99d3c42b3044d1e99af5ca3e9f3cdcc1d12c49245b22f950d5b51226980",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-28T08:46:49Z",
    "title_canon_sha256": "23db35cd45e0f099804ffd595ac783417377add7f4965b0ebdc6af284bdb298d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5647",
    "kind": "arxiv",
    "version": 1
  }
}