Pith Number

pith:7VBLKHJA

pith:2022:7VBLKHJA2THLL7YYJSY2VTIZXV

not attested not anchored not stored refs pending

Eigenstripping, Spectral Decay, and Edge-Expansion on Posets

Jason Gaitonde, Max Hopkins, Ruizhe Zhang, Shachar Lovett, Tali Kaufman

arxiv:2205.00644 v2 · 2022-05-02 · math.CO · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VBLKHJA2THLL7YYJSY2VTIZXV}

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	2026-07-05T05:50:05.922649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd42b51d20d4ceb5ff184cb1aacd19bd6e0142650665810e6c081b5e41868b9e

Aliases

arxiv: 2205.00644 · arxiv_version: 2205.00644v2 · doi: 10.48550/arxiv.2205.00644 · pith_short_12: 7VBLKHJA2THL · pith_short_16: 7VBLKHJA2THLL7YY · pith_short_8: 7VBLKHJA

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/7VBLKHJA2THLL7YYJSY2VTIZXV \
  | 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: fd42b51d20d4ceb5ff184cb1aacd19bd6e0142650665810e6c081b5e41868b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de0a59a2207bf29cff8adaeb26117dfafe6c70fd6240354c034c7fad078ff6cf",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-05-02T04:24:20Z",
    "title_canon_sha256": "0322c330233af43081542c18842d3785c149c916880f6bf02fc4f1bb3500a04b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.00644",
    "kind": "arxiv",
    "version": 2
  }
}