Pith Number

pith:ST2IG4LG

pith:2023:ST2IG4LGJRFY5Y7ILPU7B7NS2Z

not attested not anchored not stored refs pending

Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials

Christopher Janjigian, Firas Rassoul-Agha, Sean Groathouse

arxiv:2306.17714 v2 · 2023-06-30 · 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{ST2IG4LGJRFY5Y7ILPU7B7NS2Z}

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

Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape

Receipt and verification

First computed	2026-07-05T10:01:09.690913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f48371664c4b8ee3e85be9f0fdb2d6476ab04462b3037d13d0839abe438217

Aliases

arxiv: 2306.17714 · arxiv_version: 2306.17714v2 · doi: 10.48550/arxiv.2306.17714 · pith_short_12: ST2IG4LGJRFY · pith_short_16: ST2IG4LGJRFY5Y7I · pith_short_8: ST2IG4LG

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/ST2IG4LGJRFY5Y7ILPU7B7NS2Z \
  | 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: 94f48371664c4b8ee3e85be9f0fdb2d6476ab04462b3037d13d0839abe438217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e10dce806d5588db0f4a395447594592c49e992d8ba9376bfd47d8dc96ba5ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-30T14:56:34Z",
    "title_canon_sha256": "680876384dda80aa881da681ef573ce35f08af008fc741eba18d9270f15ae1ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.17714",
    "kind": "arxiv",
    "version": 2
  }
}