Pith Number

pith:W3SPSGB7

pith:2007:W3SPSGB7JY3QBBLZ6TIARL72NV

not attested not anchored not stored refs pending

Quenched Limits for Transient, Ballistic, Sub-Gaussian One-Dimensional Random Walk in Random Environment

Jonathon Peterson

arxiv:0708.0649 v2 · 2007-08-04 · 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{W3SPSGB7JY3QBBLZ6TIARL72NV}

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	2026-05-18T01:12:36.862382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e4f9183f4e37008579f4d008affa6d598d6183a151d09dfc8c59fae84478fb

Aliases

arxiv: 0708.0649 · arxiv_version: 0708.0649v2 · doi: 10.48550/arxiv.0708.0649 · pith_short_12: W3SPSGB7JY3Q · pith_short_16: W3SPSGB7JY3QBBLZ · pith_short_8: W3SPSGB7

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/W3SPSGB7JY3QBBLZ6TIARL72NV \
  | 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: b6e4f9183f4e37008579f4d008affa6d598d6183a151d09dfc8c59fae84478fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71529a019e7955f27cff649e908532b5132e01b90e312640ac5a672bcdf5bde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-04T22:03:53Z",
    "title_canon_sha256": "d0068f9bc337283a70a06334b3c6dbaef28150c96a8743cc22cb071ff493db35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0649",
    "kind": "arxiv",
    "version": 2
  }
}