Pith Number

pith:5WW6KBPH

pith:2009:5WW6KBPHGAHTTLZDA2WOBEXAXL

not attested not anchored not stored refs pending

The asymptotic shape theorem for generalized first passage percolation

Michael Bj\"orklund

arxiv:0901.3449 v3 · 2009-01-22 · 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{5WW6KBPHGAHTTLZDA2WOBEXAXL}

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	2026-05-18T04:39:59.664381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edade505e7300f39af2306ace092e0bae16ef3fafaad41bc1cc0f0f0fa0f4b38

Aliases

arxiv: 0901.3449 · arxiv_version: 0901.3449v3 · doi: 10.48550/arxiv.0901.3449 · pith_short_12: 5WW6KBPHGAHT · pith_short_16: 5WW6KBPHGAHTTLZD · pith_short_8: 5WW6KBPH

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/5WW6KBPHGAHTTLZDA2WOBEXAXL \
  | 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: edade505e7300f39af2306ace092e0bae16ef3fafaad41bc1cc0f0f0fa0f4b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a0d36d77b2d29b38fd0e0a4ee3c0335d58b2968baded43a59530e6dc591ab2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-01-22T10:17:47Z",
    "title_canon_sha256": "c435d22e9fe7afd40bb2b45e468b290aad1c948d736f9e3b09b92c595494069c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3449",
    "kind": "arxiv",
    "version": 3
  }
}