Pith Number

pith:PHJPNOAR

pith:2019:PHJPNOARI7AKPE2UOG3L7LUL6G

not attested not anchored not stored refs pending

Gibbs measure dynamics for the fractional NLS

Chenmin Sun, Nikolay Tzvetkov

arxiv:1912.07303 v3 · 2019-12-16 · 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{PHJPNOARI7AKPE2UOG3L7LUL6G}

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	2026-05-26T02:03:43.699293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d2f6b81147c0a7935471b6bfae8bf19eb4cc4dac4c2f4f874bfd3989b9830f

Aliases

arxiv: 1912.07303 · arxiv_version: 1912.07303v3 · doi: 10.48550/arxiv.1912.07303 · pith_short_12: PHJPNOARI7AK · pith_short_16: PHJPNOARI7AKPE2U · pith_short_8: PHJPNOAR

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/PHJPNOARI7AKPE2UOG3L7LUL6G \
  | 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: 79d2f6b81147c0a7935471b6bfae8bf19eb4cc4dac4c2f4f874bfd3989b9830f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f8f0156845b4497e7c7447164b77c02decca9215b56091ccf8f02686b23b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-16T11:47:54Z",
    "title_canon_sha256": "8d1302eb0a2c9c510dba12e346d627630f381ad0fbc07c0235752599f2983f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07303",
    "kind": "arxiv",
    "version": 3
  }
}