Pith Number

pith:N4YBKJQN

pith:2017:N4YBKJQNORYJUR4PC3XSMFIFAY

not attested not anchored not stored refs pending

A density version for H\"aggstr\"om's theorem

Itai Benjamini, Ori Gurel-Gurevich

arxiv:1702.04688 v1 · 2017-02-15 · 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{N4YBKJQNORYJUR4PC3XSMFIFAY}

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	2026-05-18T00:50:40.926765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3015260d74709a478f16ef261505060afc89a645720c042203e7fb2d3e6aed

Aliases

arxiv: 1702.04688 · arxiv_version: 1702.04688v1 · doi: 10.48550/arxiv.1702.04688 · pith_short_12: N4YBKJQNORYJ · pith_short_16: N4YBKJQNORYJUR4P · pith_short_8: N4YBKJQN

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/N4YBKJQNORYJUR4PC3XSMFIFAY \
  | 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: 6f3015260d74709a478f16ef261505060afc89a645720c042203e7fb2d3e6aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30badcf274ac9ec362bb7abd84d772e17a2d39684ef849986d9688eb28a08818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-15T17:14:49Z",
    "title_canon_sha256": "795587bae2b6f95c46ae3ea23b8a5393901b3129e3d5528cba31595aa8463498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04688",
    "kind": "arxiv",
    "version": 1
  }
}