Pith Number

pith:FXWV3PXF

pith:2021:FXWV3PXFBF5UVBZXSSTDQOH77E

not attested not anchored not stored refs pending

Disjoint optimizers and the directed landscape

Duncan Dauvergne, Lingfu Zhang

arxiv:2102.00954 v5 · 2021-02-01 · 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{FXWV3PXFBF5UVBZXSSTDQOH77E}

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

Airy$_\beta$ line ensemble and its Laplace transform

Receipt and verification

First computed	2026-07-05T04:31:56.101082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ded5dbee5097b4a873794a63838fff903c223687f617ce4dd297837ad71de8c

Aliases

arxiv: 2102.00954 · arxiv_version: 2102.00954v5 · doi: 10.48550/arxiv.2102.00954 · pith_short_12: FXWV3PXFBF5U · pith_short_16: FXWV3PXFBF5UVBZX · pith_short_8: FXWV3PXF

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/FXWV3PXFBF5UVBZXSSTDQOH77E \
  | 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: 2ded5dbee5097b4a873794a63838fff903c223687f617ce4dd297837ad71de8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4b8d8d5ebb95e99549a5a3fa101969113f0cfec34e4c81a70fad132aef7aed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-02-01T16:38:19Z",
    "title_canon_sha256": "88a8d3ecf20136dfe99319efa6f477150a0813e21ff3ab35e13eea5aaed3b0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.00954",
    "kind": "arxiv",
    "version": 5
  }
}