Pith Number

pith:X47XYITS

pith:2009:X47XYITSVDZSUGM5SUKTXFK4QI

not attested not anchored not stored refs pending

A sharp local blow-up condition for Euler-Poisson equations with attractive forcing

Bin Cheng, Eitan Tadmor

arxiv:0902.1582 v2 · 2009-02-10 · 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{X47XYITSVDZSUGM5SUKTXFK4QI}

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	2026-05-18T02:14:48.563254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3f7c2272a8f32a199d95153b955c8213f5527a6c7b4d0a89e557504f91b7bf

Aliases

arxiv: 0902.1582 · arxiv_version: 0902.1582v2 · doi: 10.48550/arxiv.0902.1582 · pith_short_12: X47XYITSVDZS · pith_short_16: X47XYITSVDZSUGM5 · pith_short_8: X47XYITS

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/X47XYITSVDZSUGM5SUKTXFK4QI \
  | 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: bf3f7c2272a8f32a199d95153b955c8213f5527a6c7b4d0a89e557504f91b7bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab5082d61b743c4c51fd6484047e9f37b6906fb5e81949ee6c676bb9f9aed91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-02-10T05:33:04Z",
    "title_canon_sha256": "ffaf8a3a5f725a83a4f79ea9dd7bee1252b1250d04844fb4418fe32fbc7a9a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1582",
    "kind": "arxiv",
    "version": 2
  }
}