Pith Number

pith:OV6NMAFC

pith:2013:OV6NMAFC6TT3PCQIMVEFWBUBBC

not attested not anchored not stored refs pending

Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3D ball

Aynur Bulut, Jean Bourgain

arxiv:1304.1477 v1 · 2013-04-04 · 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{OV6NMAFC6TT3PCQIMVEFWBUBBC}

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	2026-05-18T01:35:33.177901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

757cd600a2f4e7b78a0865485b068108beeec5293900f5155182a1b1057a67f7

Aliases

arxiv: 1304.1477 · arxiv_version: 1304.1477v1 · doi: 10.48550/arxiv.1304.1477 · pith_short_12: OV6NMAFC6TT3 · pith_short_16: OV6NMAFC6TT3PCQI · pith_short_8: OV6NMAFC

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/OV6NMAFC6TT3PCQIMVEFWBUBBC \
  | 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: 757cd600a2f4e7b78a0865485b068108beeec5293900f5155182a1b1057a67f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed53c7616cdf903b4fd175c2694be644a44331c6fa750b801c55af8967c0acb7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-04T19:27:18Z",
    "title_canon_sha256": "aaa0f898ff8d4025f466d42d3d15241786cabd7f91bfcf12e9cccea6fb472ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1477",
    "kind": "arxiv",
    "version": 1
  }
}