Pith Number

pith:2YT3DWEB

pith:2012:2YT3DWEB3PDNZWUXSMSVP3VZAP

not attested not anchored not stored refs pending

Universality for first passage percolation on sparse random graphs

Gerard Hooghiemstra, Remco van der Hofstad, Shankar Bhamidi

arxiv:1210.6839 v1 · 2012-10-25 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YT3DWEB3PDNZWUXSMSVP3VZAP}

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	2026-05-18T03:42:22.988504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d627b1d881dbc6dcda97932557eeb903c3b51f1e602742b328afdcc0ec206494

Aliases

arxiv: 1210.6839 · arxiv_version: 1210.6839v1 · doi: 10.48550/arxiv.1210.6839 · pith_short_12: 2YT3DWEB3PDN · pith_short_16: 2YT3DWEB3PDNZWUX · pith_short_8: 2YT3DWEB

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/2YT3DWEB3PDNZWUXSMSVP3VZAP \
  | 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: d627b1d881dbc6dcda97932557eeb903c3b51f1e602742b328afdcc0ec206494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34c99b0b05e7d0b51401ba2278002405a95f2bc30f342a9f4999d27150150cd5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-25T13:46:45Z",
    "title_canon_sha256": "8ba9e8f429266a42c18bd6fb837f6d46e3d3b6432d2d5b5ce3b2e649000b7e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6839",
    "kind": "arxiv",
    "version": 1
  }
}