Pith Number

pith:4V6HHRJQ

pith:2020:4V6HHRJQOPGRYZYGS3T3DZXNQR

not attested not anchored not stored refs pending

Non-existence of bi-infinite polymer Gibbs measures

Ofer Busani, Timo Sepp\"al\"ainen

arxiv:2010.11279 v3 · 2020-10-21 · 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{4V6HHRJQOPGRYZYGS3T3DZXNQR}

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	2026-07-05T01:50:59.410137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57c73c53073cd1c670696e7b1e6ed84599eb5f9608b0958a8605c39b98f6d4f

Aliases

arxiv: 2010.11279 · arxiv_version: 2010.11279v3 · doi: 10.48550/arxiv.2010.11279 · pith_short_12: 4V6HHRJQOPGR · pith_short_16: 4V6HHRJQOPGRYZYG · pith_short_8: 4V6HHRJQ

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/4V6HHRJQOPGRYZYGS3T3DZXNQR \
  | 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: e57c73c53073cd1c670696e7b1e6ed84599eb5f9608b0958a8605c39b98f6d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd22ee6d3caea51dbb4d05172c2c884eb7a383a27f3b567d15bb525a8d2e2fe8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-10-21T19:49:13Z",
    "title_canon_sha256": "7afcbfe53688320bb54996d1f228495415cd2717ebe038777745864e78c38f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11279",
    "kind": "arxiv",
    "version": 3
  }
}