Pith Number

pith:2ZNN2M4T

pith:2025:2ZNN2M4TATN55P3WTAOHPRKWDR

not attested not anchored not stored refs pending

Powers of Magnetic Graph Matrix: Fourier Spectrum, Walk Compression, and Applications

David F. Gleich, Pan Li, Yinan Huang

arxiv:2506.07343 v1 · 2025-06-09 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZNN2M4TATN55P3WTAOHPRKWDR}

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	2026-07-05T11:18:25.388951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65add339304dbdebf76981c77c5561c56a863129c7bc5e11645e46ae2e33c18

Aliases

arxiv: 2506.07343 · arxiv_version: 2506.07343v1 · doi: 10.48550/arxiv.2506.07343 · pith_short_12: 2ZNN2M4TATN5 · pith_short_16: 2ZNN2M4TATN55P3W · pith_short_8: 2ZNN2M4T

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/2ZNN2M4TATN55P3WTAOHPRKWDR \
  | 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: d65add339304dbdebf76981c77c5561c56a863129c7bc5e11645e46ae2e33c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b73dde7ed9667fe71a683476ed01f064cc70f0db9bf922df909b22a7020388e",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-06-09T01:34:30Z",
    "title_canon_sha256": "fc3296734a30cb4a24451ecbc1a3e430e7e54e9d2f6da93cd760eb018447a9d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07343",
    "kind": "arxiv",
    "version": 1
  }
}