Pith Number

pith:7T25Z5UN

pith:2011:7T25Z5UNPRHYOFLOOZ4BQMVBTI

not attested not anchored not stored refs pending

On the Mixing Time of Geographical Threshold Graphs

Andrew Beveridge, Milan Bradonji\'c

arxiv:1109.4311 v1 · 2011-09-20 · math.PR · cs.DM · 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{7T25Z5UNPRHYOFLOOZ4BQMVBTI}

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	2026-05-18T04:12:43.587441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf5dcf68d7c4f87156e76781832a19a0948e956c3f02998674ca039d32e1786

Aliases

arxiv: 1109.4311 · arxiv_version: 1109.4311v1 · doi: 10.48550/arxiv.1109.4311 · pith_short_12: 7T25Z5UNPRHY · pith_short_16: 7T25Z5UNPRHYOFLO · pith_short_8: 7T25Z5UN

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/7T25Z5UNPRHYOFLOOZ4BQMVBTI \
  | 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: fcf5dcf68d7c4f87156e76781832a19a0948e956c3f02998674ca039d32e1786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3239b0a2b1f70eeab86b6a584c21d29c7bf5749ea729a556f7a1f268bc93392",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-20T14:51:30Z",
    "title_canon_sha256": "b0114e6edbaabd9a51d2dc30306d2cb80599ae18d814f996d8c5b87036ef5448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4311",
    "kind": "arxiv",
    "version": 1
  }
}