Pith Number

pith:ZM3XYERQ

pith:2004:ZM3XYERQQOF6JL7OP5HPZV2URQ

not attested not anchored not stored refs pending

Uniqueness/nonuniqueness for nonnegative solutions of the Cauchy problem for $u_t=\Delta u-u^p$ in a punctured space

Ross G. Pinsky

arxiv:math/0412241 v1 · 2004-12-13 · 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{ZM3XYERQQOF6JL7OP5HPZV2URQ}

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	2026-05-18T01:05:23.939098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb377c1230838be4afee7f4efcd7548c0bd2a87c1c530ec5749c478d0f4cc8c3

Aliases

arxiv: math/0412241 · arxiv_version: math/0412241v1 · doi: 10.48550/arxiv.math/0412241 · pith_short_12: ZM3XYERQQOF6 · pith_short_16: ZM3XYERQQOF6JL7O · pith_short_8: ZM3XYERQ

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/ZM3XYERQQOF6JL7OP5HPZV2URQ \
  | 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: cb377c1230838be4afee7f4efcd7548c0bd2a87c1c530ec5749c478d0f4cc8c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c9ef339d03e0b74c2b738c0c4c9d11535912abfdd3c993b1b86d479c0e4c7a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-12-13T15:42:34Z",
    "title_canon_sha256": "0fbd02971b7ce5b8b781eb1e5bc3659dd9570972fe43c98dcee7b128f1ed45d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412241",
    "kind": "arxiv",
    "version": 1
  }
}