Pith Number

pith:WGAGVVDW

pith:2021:WGAGVVDWGB2KEK3OCYRIRG7ASK

not attested not anchored not stored refs pending

Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation

Christopher Janjigian, Firas Rassoul-Agha, Sean Groathouse

arxiv:2112.00161 v1 · 2021-11-30 · 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{WGAGVVDWGB2KEK3OCYRIRG7ASK}

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

Exceptional force, uncountably many solutions in the KPZ fixed point

Receipt and verification

First computed	2026-07-05T03:36:43.329566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1806ad4763074a22b6e1622889be092b2ff02c016a99fd89725baed065da2e2

Aliases

arxiv: 2112.00161 · arxiv_version: 2112.00161v1 · doi: 10.48550/arxiv.2112.00161 · pith_short_12: WGAGVVDWGB2K · pith_short_16: WGAGVVDWGB2KEK3O · pith_short_8: WGAGVVDW

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/WGAGVVDWGB2KEK3OCYRIRG7ASK \
  | 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: b1806ad4763074a22b6e1622889be092b2ff02c016a99fd89725baed065da2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2104387654a8da6722ff2e53a244e0f00fa6a1a05aa706f3f49715124a4d8b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-30T23:06:53Z",
    "title_canon_sha256": "c5b1bfa48e4edbece139ad3099ec9309b52e9aed4baac812ae57b8665312d29d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00161",
    "kind": "arxiv",
    "version": 1
  }
}