Pith Number

pith:CUEGZHS2

pith:2012:CUEGZHS24BNHCGD2HIPXB26WF7

not attested not anchored not stored refs pending

Singularity and blow-up estimates via Liouville-type theorems for Hardy-H\'enon parabolic equations

Quoc Hung Phan

arxiv:1210.7722 v1 · 2012-10-29 · 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{CUEGZHS24BNHCGD2HIPXB26WF7}

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	2026-05-18T03:41:59.499552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15086c9e5ae05a71187a3a1f70ebd62fffcae82d26fba69877e16f2e4f36828e

Aliases

arxiv: 1210.7722 · arxiv_version: 1210.7722v1 · doi: 10.48550/arxiv.1210.7722 · pith_short_12: CUEGZHS24BNH · pith_short_16: CUEGZHS24BNHCGD2 · pith_short_8: CUEGZHS2

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/CUEGZHS24BNHCGD2HIPXB26WF7 \
  | 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: 15086c9e5ae05a71187a3a1f70ebd62fffcae82d26fba69877e16f2e4f36828e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95881d64034f9b60a329912d6f9ab763a540accd74676ec1d830bcf3720cb4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-29T16:37:04Z",
    "title_canon_sha256": "82b732081c137b9c9074dcc796e65dc7487d24390082988ad3d80f66032f203e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7722",
    "kind": "arxiv",
    "version": 1
  }
}