Pith Number

pith:VKN3QJCJ

pith:2008:VKN3QJCJQZLJL6KYXPZCLMGSMQ

not attested not anchored not stored refs pending

Last Passage Percolation in Macroscopically Inhomogeneous Media

Augusto Q. Teixeira, Leonardo T. Rolla

arxiv:0804.1810 v2 · 2008-04-10 · 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{VKN3QJCJQZLJL6KYXPZCLMGSMQ}

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	2026-05-18T01:04:50.988247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9bb82449865695f958bbf225b0d26433617adb598f7abd189494285e896348

Aliases

arxiv: 0804.1810 · arxiv_version: 0804.1810v2 · doi: 10.48550/arxiv.0804.1810 · pith_short_12: VKN3QJCJQZLJ · pith_short_16: VKN3QJCJQZLJL6KY · pith_short_8: VKN3QJCJ

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/VKN3QJCJQZLJL6KYXPZCLMGSMQ \
  | 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: aa9bb82449865695f958bbf225b0d26433617adb598f7abd189494285e896348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244f9851ec81d30c7b2d98b112f3c1c417279d2183dc5d43c3649db6bb485ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-04-10T21:36:22Z",
    "title_canon_sha256": "663fd689485997059f8c27cad0d15171d5bba44261d9927ddac3d00bde21d531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1810",
    "kind": "arxiv",
    "version": 2
  }
}