Pith Number

pith:T2ZFHTEV

pith:2015:T2ZFHTEV6VULX6IOHIM3PF6AM6

not attested not anchored not stored refs pending

Cutoff for non-backtracking random walks on sparse random graphs

Anna Ben-Hamou, Justin Salez

arxiv:1504.02429 v1 · 2015-04-09 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2ZFHTEV6VULX6IOHIM3PF6AM6}

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	2026-05-18T02:19:08.929308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb253cc95f568bbf90e3a19b797c0679a0728a8a1284ed1f70fa1f91a2c2756

Aliases

arxiv: 1504.02429 · arxiv_version: 1504.02429v1 · doi: 10.48550/arxiv.1504.02429 · pith_short_12: T2ZFHTEV6VUL · pith_short_16: T2ZFHTEV6VULX6IO · pith_short_8: T2ZFHTEV

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/T2ZFHTEV6VULX6IOHIM3PF6AM6 \
  | 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: 9eb253cc95f568bbf90e3a19b797c0679a0728a8a1284ed1f70fa1f91a2c2756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7436e5cb60e8225b023159d79ffc7255328550253faa9c78c675505efc5b102",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-09T19:17:42Z",
    "title_canon_sha256": "ae7ea3208bd9ee46543fdf95b46a26abce3729cc8ad522450f71d8f195f8b863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02429",
    "kind": "arxiv",
    "version": 1
  }
}