Pith Number

pith:5MB2AZG3

pith:2013:5MB2AZG3QCRTPBFJO6AUGBNYQJ

not attested not anchored not stored refs pending

On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres

Vincent Millot, Yannick Sire

arxiv:1307.7015 v3 · 2013-07-26 · 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{5MB2AZG3QCRTPBFJO6AUGBNYQJ}

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	2026-05-18T02:47:16.080059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb03a064db80a33784a977814305b8825295e36846d6e709017b547cb1c543ee

Aliases

arxiv: 1307.7015 · arxiv_version: 1307.7015v3 · doi: 10.48550/arxiv.1307.7015 · pith_short_12: 5MB2AZG3QCRT · pith_short_16: 5MB2AZG3QCRTPBFJ · pith_short_8: 5MB2AZG3

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/5MB2AZG3QCRTPBFJO6AUGBNYQJ \
  | 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: eb03a064db80a33784a977814305b8825295e36846d6e709017b547cb1c543ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3b13e6c7eed15ac442556e0fbb42f73b5a9a9753538c82097d5d00e8cfaa80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-26T12:29:49Z",
    "title_canon_sha256": "54cff16cde5f8b888d8a1708faecf18964fd18233f5fc10b1b762177ec316f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7015",
    "kind": "arxiv",
    "version": 3
  }
}