Pith Number

pith:S7TQOBAT

pith:2016:S7TQOBATKVMVDAZ7L42OAPWO4I

not attested not anchored not stored refs pending

Small energy Ginzburg-Landau minimizers in ${\mathbb R}^3$

Etienne Sandier, Itai Shafrir

arxiv:1612.00821 v2 · 2016-12-02 · 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{S7TQOBATKVMVDAZ7L42OAPWO4I}

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	2026-05-18T00:53:04.903696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e7070413555951833f5f34e03ecee226dee030310548d6f858de600bf026fc

Aliases

arxiv: 1612.00821 · arxiv_version: 1612.00821v2 · doi: 10.48550/arxiv.1612.00821 · pith_short_12: S7TQOBATKVMV · pith_short_16: S7TQOBATKVMVDAZ7 · pith_short_8: S7TQOBAT

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/S7TQOBATKVMVDAZ7L42OAPWO4I \
  | 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: 97e7070413555951833f5f34e03ecee226dee030310548d6f858de600bf026fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e61df22a599fbb1ea08e82b3ed8aeca2c71cdf5a64df56cad48b54ed5a14b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-02T20:17:39Z",
    "title_canon_sha256": "17064d7a29bcab0a2d181028c95811fd780aeb459989637ac9584dd61b69fb2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00821",
    "kind": "arxiv",
    "version": 2
  }
}