Pith Number

pith:H4DYMDEE

pith:2024:H4DYMDEEHKMB47IHNVAN4OFZMG

not attested not anchored not stored refs pending

Localization of bubbling for high order nonlinear equations

Fr\'ed\'eric Robert

arxiv:2501.00531 v1 · 2024-12-31 · 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{H4DYMDEEHKMB47IHNVAN4OFZMG}

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.

Cited by

1 paper in Pith

A priori bounds for energy-bounded solutions of critical polyharmonic equations

Receipt and verification

First computed	2026-07-05T09:56:07.184684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f07860c843a981e7d076d40de38b9619ba020821289acb7b0f34cd86bf1fb10

Aliases

arxiv: 2501.00531 · arxiv_version: 2501.00531v1 · doi: 10.48550/arxiv.2501.00531 · pith_short_12: H4DYMDEEHKMB · pith_short_16: H4DYMDEEHKMB47IH · pith_short_8: H4DYMDEE

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/H4DYMDEEHKMB47IHNVAN4OFZMG \
  | 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: 3f07860c843a981e7d076d40de38b9619ba020821289acb7b0f34cd86bf1fb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606259a68ffdad7c3871331184058321284f4fbe1d9e5fab701937523fae9e70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-31T16:29:29Z",
    "title_canon_sha256": "d9f860153b2412c5af000296442e8174118bf05905402192df60fd059179608f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00531",
    "kind": "arxiv",
    "version": 1
  }
}