Pith Number

pith:ISHI3KYV

pith:2016:ISHI3KYVZNH2TQQT5JV7CESTL4

not attested not anchored not stored refs pending

Superlinearity of geodesic length in 2$D$ critical first-passage percolation

Michael Damron, Pengfei Tang

arxiv:1610.02593 v1 · 2016-10-08 · 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{ISHI3KYVZNH2TQQT5JV7CESTL4}

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	2026-05-18T01:02:51.180671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448e8dab15cb4fa9c213ea6bf112535f07a0dbefc380844fadd79861ecf07dc1

Aliases

arxiv: 1610.02593 · arxiv_version: 1610.02593v1 · doi: 10.48550/arxiv.1610.02593 · pith_short_12: ISHI3KYVZNH2 · pith_short_16: ISHI3KYVZNH2TQQT · pith_short_8: ISHI3KYV

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/ISHI3KYVZNH2TQQT5JV7CESTL4 \
  | 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: 448e8dab15cb4fa9c213ea6bf112535f07a0dbefc380844fadd79861ecf07dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6b765ba8dc4e241f1859872ec5cb0d75a3b37f1f824e273ba14fc01c7b3d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-08T22:39:15Z",
    "title_canon_sha256": "8d8e7b7f6805199c0471f172ea3d3940a42f9ef6cb48dd92f071b4a184aa7f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02593",
    "kind": "arxiv",
    "version": 1
  }
}