Pith Number

pith:F2LFYB6M

pith:2013:F2LFYB6M6RLBLETIPC6ICKXJTN

not attested not anchored not stored refs pending

Weighted energy estimates for $p$-evolution equations

Alessia Ascanelli, Marco Cappiello

arxiv:1309.6102 v1 · 2013-09-24 · 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{F2LFYB6M6RLBLETIPC6ICKXJTN}

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	2026-05-18T03:12:23.957417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e965c07ccf45615926878bc812ae99b747de0022fc33b7f262b0aaff5782f5a

Aliases

arxiv: 1309.6102 · arxiv_version: 1309.6102v1 · doi: 10.48550/arxiv.1309.6102 · pith_short_12: F2LFYB6M6RLB · pith_short_16: F2LFYB6M6RLBLETI · pith_short_8: F2LFYB6M

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/F2LFYB6M6RLBLETIPC6ICKXJTN \
  | 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: 2e965c07ccf45615926878bc812ae99b747de0022fc33b7f262b0aaff5782f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ddb6ea377e928e08bce2f7fb964acd8cc0ab3083744bf7891f8201730f5a787",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-24T10:10:48Z",
    "title_canon_sha256": "f061935c7dbd8c2ed22062b42e2348c2c86e927e35713c60ca2f749721e19a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6102",
    "kind": "arxiv",
    "version": 1
  }
}