Pith Number

pith:6X4X7IXH

pith:2016:6X4X7IXHAC5B2WFW5LNCEI6CER

not attested not anchored not stored refs pending

Stationary coalescing walks on the lattice

Arjun Krishnan, Jon Chaika

arxiv:1612.00434 v3 · 2016-12-01 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6X4X7IXHAC5B2WFW5LNCEI6CER}

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	2026-05-17T23:57:15.902593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f97fa2e700ba1d58b6eada2223c22454461c29b62e88600a3c3a3198707fee

Aliases

arxiv: 1612.00434 · arxiv_version: 1612.00434v3 · doi: 10.48550/arxiv.1612.00434 · pith_short_12: 6X4X7IXHAC5B · pith_short_16: 6X4X7IXHAC5B2WFW · pith_short_8: 6X4X7IXH

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/6X4X7IXHAC5B2WFW5LNCEI6CER \
  | 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: f5f97fa2e700ba1d58b6eada2223c22454461c29b62e88600a3c3a3198707fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898806df8303b9b85f0c7223a96061a859eab6a78a3b2892115f62709f1d1592",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-01T20:52:36Z",
    "title_canon_sha256": "ce4c750b771423f61dc95cc7f354eb62921d433e36c3ff09c8141b5335f54b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00434",
    "kind": "arxiv",
    "version": 3
  }
}