Pith Number

pith:GQKBZP5V

pith:2012:GQKBZP5VK4LHSZTZNUOLAIRLJA

not attested not anchored not stored refs pending

Sup-norm estimates for parabolic systems with dynamic boundary conditions

Ciprian G. Gal

arxiv:1210.7671 v1 · 2012-10-29 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQKBZP5VK4LHSZTZNUOLAIRLJA}

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	2026-05-18T03:42:09.123639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34141cbfb557167966796d1cb0222b481c01a6b1b3d390acd30821dcd8b7d478

Aliases

arxiv: 1210.7671 · arxiv_version: 1210.7671v1 · doi: 10.48550/arxiv.1210.7671 · pith_short_12: GQKBZP5VK4LH · pith_short_16: GQKBZP5VK4LHSZTZ · pith_short_8: GQKBZP5V

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/GQKBZP5VK4LHSZTZNUOLAIRLJA \
  | 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: 34141cbfb557167966796d1cb0222b481c01a6b1b3d390acd30821dcd8b7d478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8bce289c59dcac62840d97484f638d460400e6390059ddc4771724deb0c7b3d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-29T14:09:14Z",
    "title_canon_sha256": "8cf3d4ef1308f14c8f2de3fad7d82b9e68dd242c3715a01b0c383949b6a9f93b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7671",
    "kind": "arxiv",
    "version": 1
  }
}