Pith Number

pith:OVCPDPU2

pith:2016:OVCPDPU2TPTW66IGKPBUT763TI

not attested not anchored not stored refs pending

Upper bounds on Liouville first passage percolation and Watabiki's prediction

Jian Ding, Subhajit Goswami

arxiv:1610.09998 v4 · 2016-10-31 · 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{OVCPDPU2TPTW66IGKPBUT763TI}

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

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity

Receipt and verification

First computed	2026-07-05T00:21:45.610758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7544f1be9a9be76f790653c349ffdb9a36d15f801a8cc4c718cb587a32321b11

Aliases

arxiv: 1610.09998 · arxiv_version: 1610.09998v4 · doi: 10.48550/arxiv.1610.09998 · pith_short_12: OVCPDPU2TPTW · pith_short_16: OVCPDPU2TPTW66IG · pith_short_8: OVCPDPU2

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/OVCPDPU2TPTW66IGKPBUT763TI \
  | 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: 7544f1be9a9be76f790653c349ffdb9a36d15f801a8cc4c718cb587a32321b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc33f7d53eaaf4a09976168ca5d054fbefa37dbfb47f94a3fe3cc1df8770229f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-31T16:21:35Z",
    "title_canon_sha256": "6002aa30dc83e0b1117b23dcea7e0aae7c5c25b3690e42850ff70cb4d4339c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09998",
    "kind": "arxiv",
    "version": 4
  }
}