Pith Number

pith:UWKWOM3R

pith:2012:UWKWOM3RFPLCNQZSHQDCYLBVUM

not attested not anchored not stored refs pending

Gibbs measure evolution in radial nonlinear wave and Schr\"odinger equations on the ball

Aynur Bulut, Jean Bourgain

arxiv:1205.1187 v1 · 2012-05-06 · 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{UWKWOM3RFPLCNQZSHQDCYLBVUM}

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	2026-05-18T01:35:33.301515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5956733712bd626c3323c062c2c35a3153c3809fe7a7f96460d277b17f94cc4

Aliases

arxiv: 1205.1187 · arxiv_version: 1205.1187v1 · doi: 10.48550/arxiv.1205.1187 · pith_short_12: UWKWOM3RFPLC · pith_short_16: UWKWOM3RFPLCNQZS · pith_short_8: UWKWOM3R

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/UWKWOM3RFPLCNQZSHQDCYLBVUM \
  | 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: a5956733712bd626c3323c062c2c35a3153c3809fe7a7f96460d277b17f94cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff67e763cf6ca9546f470c27fde15bc77f806c4d8e9e14b132a601d6c795654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-06T06:54:05Z",
    "title_canon_sha256": "b6588d5b425390fe6a73841abfc15eff6db03029a1a2bec3bf445027d8ac2d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1187",
    "kind": "arxiv",
    "version": 1
  }
}