Pith Number

pith:MSQNXTOD

pith:2013:MSQNXTODVOR4UIAG4WKX7RNE6O

not attested not anchored not stored refs pending

On hitting times for simple random walk on dense Erd\"os-R\'enyi random graphs

Felipe Torres, Matthias L\"owe

arxiv:1310.1792 v2 · 2013-10-07 · 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{MSQNXTODVOR4UIAG4WKX7RNE6O}

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	2026-05-18T02:57:43.442830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64a0dbcdc3aba3ca2006e5957fc5a4f3a40dcd6bb3fe7261b861d2a8ae887453

Aliases

arxiv: 1310.1792 · arxiv_version: 1310.1792v2 · doi: 10.48550/arxiv.1310.1792 · pith_short_12: MSQNXTODVOR4 · pith_short_16: MSQNXTODVOR4UIAG · pith_short_8: MSQNXTOD

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/MSQNXTODVOR4UIAG4WKX7RNE6O \
  | 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: 64a0dbcdc3aba3ca2006e5957fc5a4f3a40dcd6bb3fe7261b861d2a8ae887453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1f3009a6aa324dbb03d20226518e8ef89dacb9f21bcc0a9df65377ccff10c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-07T14:18:01Z",
    "title_canon_sha256": "d62359ae6f2b29d823ad07e0341743f28f7ef6e462d81d5e60191f8a6525c199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1792",
    "kind": "arxiv",
    "version": 2
  }
}