Pith Number

pith:W6U6REL4

pith:2007:W6U6REL4YDV7KRSUQOR4657BM2

not attested not anchored not stored refs pending

Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction

Firas Rassoul-Agha, Timo Sepp\"al\"ainen

arxiv:math/0703787 v1 · 2007-03-27 · 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{W6U6REL4YDV7KRSUQOR4657BM2}

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	2026-05-18T01:09:15.251562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a9e8917cc0ebf5465483a3cf77e166af67a9b610dad80758057e6ffb9b3e65

Aliases

arxiv: math/0703787 · arxiv_version: math/0703787v1 · doi: 10.48550/arxiv.math/0703787 · pith_short_12: W6U6REL4YDV7 · pith_short_16: W6U6REL4YDV7KRSU · pith_short_8: W6U6REL4

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/W6U6REL4YDV7KRSUQOR4657BM2 \
  | 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: b7a9e8917cc0ebf5465483a3cf77e166af67a9b610dad80758057e6ffb9b3e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9bffea24f6f106876e018dfb5d0ca4fad609aaa9c888d9a237f01ce3cfd1534",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-03-27T08:04:20Z",
    "title_canon_sha256": "8789037c56d5dd32ee1fb97aca3dcc7ce2d5d087e022ed1cb91a9e9bbae61a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703787",
    "kind": "arxiv",
    "version": 1
  }
}