Pith Number

pith:USD2ZBV7

pith:2022:USD2ZBV7MEJND4LC6VKZDRP4BE

not attested not anchored not stored refs pending

Dual Cheeger constant for weighted graphs over ordered fields

Anna Muranova

arxiv:2211.01654 v1 · 2022-11-03 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USD2ZBV7MEJND4LC6VKZDRP4BE}

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	2026-06-19T16:11:07.349666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a487ac86bf6112d1f162f55591c5fc092bdee705957df59b36cf5c79d6fa8d04

Aliases

arxiv: 2211.01654 · arxiv_version: 2211.01654v1 · doi: 10.48550/arxiv.2211.01654 · pith_short_12: USD2ZBV7MEJN · pith_short_16: USD2ZBV7MEJND4LC · pith_short_8: USD2ZBV7

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/USD2ZBV7MEJND4LC6VKZDRP4BE \
  | 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: a487ac86bf6112d1f162f55591c5fc092bdee705957df59b36cf5c79d6fa8d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b78d5cba2cc7c7eef3295964ad09a01566f0a83698f56a2fbdcc70c95ff06f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-03T08:54:59Z",
    "title_canon_sha256": "269df7d751bc7eb9da5ba32eefc5124e14f664cc0cdd7e0b6108cf8415d9ab0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.01654",
    "kind": "arxiv",
    "version": 1
  }
}