Pith Number

pith:PJBCD7PA

pith:2021:PJBCD7PARY2I4N4Y6F7C7QT5KH

not attested not anchored not stored refs pending

Invariant Gibbs measure for a Schrodinger equation with exponential nonlinearity

Tristan Robert

arxiv:2104.14348 v1 · 2021-04-29 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJBCD7PARY2I4N4Y6F7C7QT5KH}

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.

Cited by

1 paper in Pith

On the parabolic and hyperbolic Liouville equations

Receipt and verification

First computed	2026-07-05T02:36:15.604883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4221fde08e348e3798f17e2fc27d51ee871d115da428625f1c32cf4db32555

Aliases

arxiv: 2104.14348 · arxiv_version: 2104.14348v1 · doi: 10.48550/arxiv.2104.14348 · pith_short_12: PJBCD7PARY2I · pith_short_16: PJBCD7PARY2I4N4Y · pith_short_8: PJBCD7PA

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/PJBCD7PARY2I4N4Y6F7C7QT5KH \
  | 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: 7a4221fde08e348e3798f17e2fc27d51ee871d115da428625f1c32cf4db32555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e19ecaee92404e38b418e8ea8a65f27e385c10d799f0c1cb55028a9956f1b7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-29T13:57:00Z",
    "title_canon_sha256": "9530aed20926f70c9c93c32596cc39b69a0e6e54e278997b523623012ca73af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.14348",
    "kind": "arxiv",
    "version": 1
  }
}