Pith Number

pith:F5TYVQPT

pith:2012:F5TYVQPTWBUCFUEINSRVUTO4TL

not attested not anchored not stored refs pending

L^{\infty} a priori bounds for gradients of solutions to quasilinear inhomogenous fast-growing parabolic systems

Jan Burczak

arxiv:1203.4861 v1 · 2012-03-22 · 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{F5TYVQPTWBUCFUEINSRVUTO4TL}

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	2026-05-18T03:43:28.478256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f678ac1f3b06822d0886ca35a4ddc9ae71b6cc6fba1bf8025af64b1c6a7eaac

Aliases

arxiv: 1203.4861 · arxiv_version: 1203.4861v1 · doi: 10.48550/arxiv.1203.4861 · pith_short_12: F5TYVQPTWBUC · pith_short_16: F5TYVQPTWBUCFUEI · pith_short_8: F5TYVQPT

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/F5TYVQPTWBUCFUEINSRVUTO4TL \
  | 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: 2f678ac1f3b06822d0886ca35a4ddc9ae71b6cc6fba1bf8025af64b1c6a7eaac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc8444cdaca583bf02ab4a5505414970f5f3a90836f0293b2408ec35e662279",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-22T00:30:10Z",
    "title_canon_sha256": "32fad4d683a0b92e8ea5f9db90eb10cb51ce32d6d4c6664f4a67f6f19294382d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4861",
    "kind": "arxiv",
    "version": 1
  }
}