Pith Number

pith:OY7QMNDJ

pith:2017:OY7QMNDJAZBFDRPXXJKTFK74PB

not attested not anchored not stored refs pending

Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights

Timo Sepp\"al\"ainen

arxiv:1709.05771 v3 · 2017-09-18 · 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{OY7QMNDJAZBFDRPXXJKTFK74PB}

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

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

Receipt and verification

First computed	2026-07-05T01:31:19.325049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

763f063469064251c5f7ba5532abfc7860c60e5441b08c91144df31dd24f4c6b

Aliases

arxiv: 1709.05771 · arxiv_version: 1709.05771v3 · doi: 10.48550/arxiv.1709.05771 · pith_short_12: OY7QMNDJAZBF · pith_short_16: OY7QMNDJAZBFDRPX · pith_short_8: OY7QMNDJ

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/OY7QMNDJAZBFDRPXXJKTFK74PB \
  | 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: 763f063469064251c5f7ba5532abfc7860c60e5441b08c91144df31dd24f4c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89b9b9a22a89aeb8d149d1ea109e9a865a4bb16f0b035e86c1aa6fb528043d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-18T04:21:59Z",
    "title_canon_sha256": "1e7bba075fb19dc217936e3aebf6b29bf0d5e12fb4fe895e587130545d6c422b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05771",
    "kind": "arxiv",
    "version": 3
  }
}