Pith Number

pith:3TAVJBS2

pith:2011:3TAVJBS2AICS5XZJPVBST4YGTO

not attested not anchored not stored refs pending

Abrikosov Vortex Lattices at Weak Magnetic Fields

I. M. Sigal, T. Tzaneteas

arxiv:1110.5987 v1 · 2011-10-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TAVJBS2AICS5XZJPVBST4YGTO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:10:09.997862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcc154865a02052edf297d4329f3069b9e372fdc195ae3f530d61d83d784e80a

Aliases

arxiv: 1110.5987 · arxiv_version: 1110.5987v1 · doi: 10.48550/arxiv.1110.5987 · pith_short_12: 3TAVJBS2AICS · pith_short_16: 3TAVJBS2AICS5XZJ · pith_short_8: 3TAVJBS2

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/3TAVJBS2AICS5XZJPVBST4YGTO \
  | 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: dcc154865a02052edf297d4329f3069b9e372fdc195ae3f530d61d83d784e80a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea8c154f3e845aac87caf797e52e9f35e4dbf08f161289451edb47285b680b7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-27T05:36:15Z",
    "title_canon_sha256": "b0b53a7a529d4c8dd958144e7bf48e736f9948579db8117ac13f8ae14170ef80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5987",
    "kind": "arxiv",
    "version": 1
  }
}