Pith Number

pith:L7MQBYWU

pith:2012:L7MQBYWUJ7S7WQBWVCXMGCUAXT

not attested not anchored not stored refs pending

Gamma-convergence of graph Ginzburg-Landau functionals

Andrea L. Bertozzi, Yves van Gennip

arxiv:1204.5220 v4 · 2012-04-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7MQBYWUJ7S7WQBWVCXMGCUAXT}

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	2026-05-17T23:41:01.695073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd900e2d44fe5fb4036a8aec30a80bcd88912a3cb1fc9dbc842b7e33123d39b

Aliases

arxiv: 1204.5220 · arxiv_version: 1204.5220v4 · doi: 10.48550/arxiv.1204.5220 · pith_short_12: L7MQBYWUJ7S7 · pith_short_16: L7MQBYWUJ7S7WQBW · pith_short_8: L7MQBYWU

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/L7MQBYWUJ7S7WQBWVCXMGCUAXT \
  | 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: 5fd900e2d44fe5fb4036a8aec30a80bcd88912a3cb1fc9dbc842b7e33123d39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b24dfb3c7428097c06ce8a75bb0d3d10d8a747815c7b732b3e2d82b5aeff6702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-23T22:13:59Z",
    "title_canon_sha256": "7e21f971160bb7cea14fbc30f63cb44ebf6c0a1d91af6c2c11a9a24b52cddfa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5220",
    "kind": "arxiv",
    "version": 4
  }
}