Pith Number

pith:WCWWWTMV

pith:2013:WCWWWTMVJKT4AILNSVCMK45YMR

not attested not anchored not stored refs pending

Stability of symmetric vortices for two-component Ginzburg-Landau systems

Qi Gao, Stan Alama

arxiv:1308.1064 v1 · 2013-08-05 · 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{WCWWWTMVJKT4AILNSVCMK45YMR}

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	2026-05-18T03:16:40.804265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ad6b4d954aa7c0216d9544c573b8644da92bb28ec76737009035ff595f176d

Aliases

arxiv: 1308.1064 · arxiv_version: 1308.1064v1 · doi: 10.48550/arxiv.1308.1064 · pith_short_12: WCWWWTMVJKT4 · pith_short_16: WCWWWTMVJKT4AILN · pith_short_8: WCWWWTMV

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/WCWWWTMVJKT4AILNSVCMK45YMR \
  | 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: b0ad6b4d954aa7c0216d9544c573b8644da92bb28ec76737009035ff595f176d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03587bf3e5b66005b410d21f11ad78f6524d57862d95bf10bbd3c7f3e6d8195",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-05T18:41:46Z",
    "title_canon_sha256": "561372545f356f33c350484030b0383d30e5c7328bffc2bb89e056cc82418b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1064",
    "kind": "arxiv",
    "version": 1
  }
}