Pith Number

pith:IPUTZ4CW

pith:2025:IPUTZ4CWZLUWCO7JTZ3X2OCXM6

not attested not anchored not stored refs pending

Spectral coverings without embeddings

Eric Boulter, Steven Rayan

arxiv:2507.02127 v1 · 2025-07-02 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPUTZ4CWZLUWCO7JTZ3X2OCXM6}

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	2026-07-05T11:31:12.479031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e93cf056cae9613be99e777d385767a31af2e0a08891f689437ae9e7ce538f

Aliases

arxiv: 2507.02127 · arxiv_version: 2507.02127v1 · doi: 10.48550/arxiv.2507.02127 · pith_short_12: IPUTZ4CWZLUW · pith_short_16: IPUTZ4CWZLUWCO7J · pith_short_8: IPUTZ4CW

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/IPUTZ4CWZLUWCO7JTZ3X2OCXM6 \
  | 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: 43e93cf056cae9613be99e777d385767a31af2e0a08891f689437ae9e7ce538f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6561f703a24782e1ac392bb5b35c5a4c7108557f2938016d88b2a8fa9cb56b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-02T20:20:36Z",
    "title_canon_sha256": "09df0c66116513692c1215501792c6724ba81b31cdb7e5bb45d17283648e44f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02127",
    "kind": "arxiv",
    "version": 1
  }
}