Pith Number

pith:2OV7ZJIB

pith:2025:2OV7ZJIBXI3TJEMOS2XXZ3K6W4

not attested not anchored not stored refs pending

An upper tail field of the KPZ fixed point

Ruixuan Zhang, Zhipeng Liu

arxiv:2501.00932 v3 · 2025-01-01 · 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{2OV7ZJIBXI3TJEMOS2XXZ3K6W4}

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.

Receipt and verification

First computed	2026-07-05T11:28:33.171739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3abfca501ba3734918e96af7ced5eb73588fe5f81737e6e33dedf06ce05b323

Aliases

arxiv: 2501.00932 · arxiv_version: 2501.00932v3 · doi: 10.48550/arxiv.2501.00932 · pith_short_12: 2OV7ZJIBXI3T · pith_short_16: 2OV7ZJIBXI3TJEMO · pith_short_8: 2OV7ZJIB

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/2OV7ZJIBXI3TJEMOS2XXZ3K6W4 \
  | 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: d3abfca501ba3734918e96af7ced5eb73588fe5f81737e6e33dedf06ce05b323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6280d745cc683335a3a9ff22d7131be18862374f4d46b953e25209100b407cd1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-01T19:11:48Z",
    "title_canon_sha256": "aabb6d4e5b39a4283dcb600af11f42bfee314b8fce33c68f3029bde18437b8b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00932",
    "kind": "arxiv",
    "version": 3
  }
}