Pith Number

pith:VOPY2JOT

pith:2010:VOPY2JOTUT2CW4WN6F2X4ERQWT

not attested not anchored not stored refs pending

From the Ginzburg-Landau model to vortex lattice problems

Etienne Sandier, Sylvia Serfaty

arxiv:1011.4617 v2 · 2010-11-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOPY2JOTUT2CW4WN6F2X4ERQWT}

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	2026-05-18T03:32:06.083782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9f8d25d3a4f42b72cdf1757e1230b4f1a68283740a193c11463ee5dbbbf979

Aliases

arxiv: 1011.4617 · arxiv_version: 1011.4617v2 · doi: 10.48550/arxiv.1011.4617 · pith_short_12: VOPY2JOTUT2C · pith_short_16: VOPY2JOTUT2CW4WN · pith_short_8: VOPY2JOT

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/VOPY2JOTUT2CW4WN6F2X4ERQWT \
  | 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: ab9f8d25d3a4f42b72cdf1757e1230b4f1a68283740a193c11463ee5dbbbf979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e857d2bfd721307f4c2f6c389649b0fbce96f1a831c2b06b8c8c7d402a0b771",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-20T22:12:17Z",
    "title_canon_sha256": "42401137b134305b1203d4a549c5986145235f78b04cf8a5710a04dfd1c37989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4617",
    "kind": "arxiv",
    "version": 2
  }
}