Pith Number

pith:NDFEQS54

pith:2014:NDFEQS54AQZ47U2AQ5HRUO3K57

not attested not anchored not stored refs pending

A rotor configuration in Z^d where Schramm's bound of escape rates attains

Daiwei He

arxiv:1405.3400 v1 · 2014-05-14 · 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{NDFEQS54AQZ47U2AQ5HRUO3K57}

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	2026-05-18T02:51:50.082710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ca484bbc0433cfd340874f1a3b6aefc0a44d86651bd23df8e393538cde61bf

Aliases

arxiv: 1405.3400 · arxiv_version: 1405.3400v1 · doi: 10.48550/arxiv.1405.3400 · pith_short_12: NDFEQS54AQZ4 · pith_short_16: NDFEQS54AQZ47U2A · pith_short_8: NDFEQS54

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/NDFEQS54AQZ47U2AQ5HRUO3K57 \
  | 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: 68ca484bbc0433cfd340874f1a3b6aefc0a44d86651bd23df8e393538cde61bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12635cebca7c12c1f323ac2813fb5f24425f70ebb8e08476310c0c336476a24",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-14T08:06:09Z",
    "title_canon_sha256": "bc035959db58f36d9aa948b1d4a48093dca1a62bc190aae287c1b8309b4917de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3400",
    "kind": "arxiv",
    "version": 1
  }
}