Pith Number

pith:VJNQ3S5H

pith:2025:VJNQ3S5HVV3HPSSULRP7GSZTAQ

not attested not anchored not stored refs pending

Permutation invariance in last-passage percolation and the distribution of the Busemann process

Elnur Emrah, Erik Bates, Evan Sorensen, James Martin, Timo Sepp\"al\"ainen

arxiv:2506.12641 v1 · 2025-06-14 · 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{VJNQ3S5HVV3HPSSULRP7GSZTAQ}

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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

3 papers in Pith

Invariant measures for half-space geometric LPP: classification and the one force--one solution principle

The directed landscape in half-space

Receipt and verification

First computed	2026-07-05T11:21:56.808701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5b0dcba7ad7677ca545c5ff34b330433af92756b4897ef0ad1d8e47fcbdc41

Aliases

arxiv: 2506.12641 · arxiv_version: 2506.12641v1 · doi: 10.48550/arxiv.2506.12641 · pith_short_12: VJNQ3S5HVV3H · pith_short_16: VJNQ3S5HVV3HPSSU · pith_short_8: VJNQ3S5H

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/VJNQ3S5HVV3HPSSULRP7GSZTAQ \
  | 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: aa5b0dcba7ad7677ca545c5ff34b330433af92756b4897ef0ad1d8e47fcbdc41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d72364189e13ba336cd6c891673bffe1fb457cd9c5513bed285300d5448ce4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-14T21:55:59Z",
    "title_canon_sha256": "619371b34306016b2860648ee140b7cec3cec19ba3feb52df0c5c75e4a090861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12641",
    "kind": "arxiv",
    "version": 1
  }
}