Pith Number

pith:6FYBH4S2

pith:2013:6FYBH4S24TFVV3LBIW5AJKNOP4

not attested not anchored not stored refs pending

Spatial mixing and approximation algorithms for graphs with bounded connective constant

Alistair Sinclair, Piyush Srivastava, Yitong Yin

arxiv:1308.1762 v2 · 2013-08-08 · cs.DM · cs.DS · 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{6FYBH4S24TFVV3LBIW5AJKNOP4}

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	2026-05-18T00:58:42.093296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f17013f25ae4cb5aed6145ba04a9ae7f1050b50413cec30a6f9a522f53afcb35

Aliases

arxiv: 1308.1762 · arxiv_version: 1308.1762v2 · doi: 10.48550/arxiv.1308.1762 · pith_short_12: 6FYBH4S24TFV · pith_short_16: 6FYBH4S24TFVV3LB · pith_short_8: 6FYBH4S2

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/6FYBH4S24TFVV3LBIW5AJKNOP4 \
  | 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: f17013f25ae4cb5aed6145ba04a9ae7f1050b50413cec30a6f9a522f53afcb35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a84626e9302f1fa0ceb6f929fe6873744bd2158c45694e703f47bef3a1ee8ff",
    "cross_cats_sorted": [
      "cs.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-08-08T06:08:22Z",
    "title_canon_sha256": "4285456042148b2a3ffacb61bd161ee4b0fc882ec80d4bdae118e01ae1cdaa79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1762",
    "kind": "arxiv",
    "version": 2
  }
}