Pith Number

pith:G3POGCPZ

pith:2021:G3POGCPZR53UYHDR2YH4HHIG4I

not attested not anchored not stored refs pending

Sensitivity of mixing times, an example

Itai Benjamini

arxiv:2105.05766 v1 · 2021-05-12 · 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{G3POGCPZR53UYHDR2YH4HHIG4I}

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	2026-07-05T02:39:53.987794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36dee309f98f774c1c71d60fc39d06e20637d5ba747eb4be8007d83831e99d8e

Aliases

arxiv: 2105.05766 · arxiv_version: 2105.05766v1 · doi: 10.48550/arxiv.2105.05766 · pith_short_12: G3POGCPZR53U · pith_short_16: G3POGCPZR53UYHDR · pith_short_8: G3POGCPZ

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/G3POGCPZR53UYHDR2YH4HHIG4I \
  | 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: 36dee309f98f774c1c71d60fc39d06e20637d5ba747eb4be8007d83831e99d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd218dc045585ffbe8e56aaa9c1c3879dace9b43389a87cba611143b30930ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-12T16:36:14Z",
    "title_canon_sha256": "a1126f04e0b6af041105a9071068ed2140b0be50fdfde752d87014664c66d3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.05766",
    "kind": "arxiv",
    "version": 1
  }
}