Pith Number

pith:VTC2UE4B

pith:2016:VTC2UE4BDVOPIPLRQZYEDHPOXS

not attested not anchored not stored refs pending

Maximum of the Ginzburg-Landau fields

David Belius, Wei Wu

arxiv:1610.04195 v2 · 2016-10-13 · math.PR · 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{VTC2UE4BDVOPIPLRQZYEDHPOXS}

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	2026-05-17T23:43:07.297721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc5aa13811d5cf43d718670419deebca73666ea23d0816fae6545dfef844017

Aliases

arxiv: 1610.04195 · arxiv_version: 1610.04195v2 · doi: 10.48550/arxiv.1610.04195 · pith_short_12: VTC2UE4BDVOP · pith_short_16: VTC2UE4BDVOPIPLR · pith_short_8: VTC2UE4B

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/VTC2UE4BDVOPIPLRQZYEDHPOXS \
  | 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: acc5aa13811d5cf43d718670419deebca73666ea23d0816fae6545dfef844017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d0ffb860b891f70f850057894d0222a60891ea9a0aabcb5d9b3acb12a34f39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-13T18:36:58Z",
    "title_canon_sha256": "2c3bbf2fb342acc993ce4ab301f49b01359618487b9b43c36df921137f4fb524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04195",
    "kind": "arxiv",
    "version": 2
  }
}