Pith Number

pith:HP4UGZRY

pith:2013:HP4UGZRYYNRZELYF6LV3VSDI4P

not attested not anchored not stored refs pending

A Spectra comparison theorem and its applications

Filippo Cerocchi

arxiv:1301.1315 v1 · 2013-01-07 · math.DG · math.MG · 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{HP4UGZRYYNRZELYF6LV3VSDI4P}

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	2026-05-18T03:37:06.213387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf9436638c363922f05f2ebbac868e3c03a9ad9f2561e268f023a31a26df0b7

Aliases

arxiv: 1301.1315 · arxiv_version: 1301.1315v1 · doi: 10.48550/arxiv.1301.1315 · pith_short_12: HP4UGZRYYNRZ · pith_short_16: HP4UGZRYYNRZELYF · pith_short_8: HP4UGZRY

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/HP4UGZRYYNRZELYF6LV3VSDI4P \
  | 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: 3bf9436638c363922f05f2ebbac868e3c03a9ad9f2561e268f023a31a26df0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7678885b83fb8bfbcb9208223ba43966df4c95412f42c9e4dd1c98ec1d752cdc",
    "cross_cats_sorted": [
      "math.MG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-07T19:46:24Z",
    "title_canon_sha256": "2a26f09129942813512e29f847fa1781b9438b82ee19c441a724ebd01fba1d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1315",
    "kind": "arxiv",
    "version": 1
  }
}