Pith Number

pith:AFFPQR2W

pith:2011:AFFPQR2WGS4C3NM6YEU7XWZXUF

not attested not anchored not stored refs pending

A priori estimates for 3D incompressible current-vortex sheets

Alessandro Morando, INRIA Lille - Nord Europe), Jean-Francois Coulombel (LPP, Paola Trebeschi, Paolo Secchi

arxiv:1102.2763 v1 · 2011-02-14 · 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{AFFPQR2WGS4C3NM6YEU7XWZXUF}

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	2026-05-18T02:03:11.424125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014af8475634b82db59ec129fbdb37a153ff83dd43ec6e065289907364acd545

Aliases

arxiv: 1102.2763 · arxiv_version: 1102.2763v1 · doi: 10.48550/arxiv.1102.2763 · pith_short_12: AFFPQR2WGS4C · pith_short_16: AFFPQR2WGS4C3NM6 · pith_short_8: AFFPQR2W

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/AFFPQR2WGS4C3NM6YEU7XWZXUF \
  | 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: 014af8475634b82db59ec129fbdb37a153ff83dd43ec6e065289907364acd545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bad4b16d3df63a7665eea6ccc01a105e59acbe3bd5840185484754ea157200a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-14T13:20:36Z",
    "title_canon_sha256": "640062ce84f36ca3ad6af28c9fa165979ca22e6b9a07ee7698d109a62952ee0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2763",
    "kind": "arxiv",
    "version": 1
  }
}