Pith Number

pith:NWUSH3NK

pith:2013:NWUSH3NKJHSKP7BCRS4VBZWXE3

not attested not anchored not stored refs pending

Limiting geodesics for first-passage percolation on subsets of $\mathbb{Z}^2$

Antonio Auffinger, Jack Hanson, Michael Damron

arxiv:1302.5413 v2 · 2013-02-21 · 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{NWUSH3NKJHSKP7BCRS4VBZWXE3}

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	2026-05-18T02:28:54.204861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da923edaa49e4a7fc228cb950e6d726e3c8f750cdf3e4d56a5fcd32f809d5c6

Aliases

arxiv: 1302.5413 · arxiv_version: 1302.5413v2 · doi: 10.48550/arxiv.1302.5413 · pith_short_12: NWUSH3NKJHSK · pith_short_16: NWUSH3NKJHSKP7BC · pith_short_8: NWUSH3NK

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/NWUSH3NKJHSKP7BCRS4VBZWXE3 \
  | 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: 6da923edaa49e4a7fc228cb950e6d726e3c8f750cdf3e4d56a5fcd32f809d5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3252721f1c798c64ed85975090ee5c0e17fec75257dc3b3076dc274dd67370ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-21T20:46:14Z",
    "title_canon_sha256": "e8bc20750555b5654823811ad2881d213e3c6f9855af19efedef3296234dbca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5413",
    "kind": "arxiv",
    "version": 2
  }
}