Pith Number

pith:GHS3W56T

pith:2016:GHS3W56T5XAGGLFILMGKE3XDT2

not attested not anchored not stored refs pending

Spectra of fuzzy sets of $S^1$

Gianluca Caterina, Vittorio Cafagna

arxiv:1605.01143 v1 · 2016-05-04 · math.CA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHS3W56T5XAGGLFILMGKE3XDT2}

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	2026-05-18T01:15:37.717436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e5bb77d3edc0632ca85b0ca26ee39eb95852c5623d4fe83e69e5a703c90ee0

Aliases

arxiv: 1605.01143 · arxiv_version: 1605.01143v1 · doi: 10.48550/arxiv.1605.01143 · pith_short_12: GHS3W56T5XAG · pith_short_16: GHS3W56T5XAGGLFI · pith_short_8: GHS3W56T

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/GHS3W56T5XAGGLFILMGKE3XDT2 \
  | 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: 31e5bb77d3edc0632ca85b0ca26ee39eb95852c5623d4fe83e69e5a703c90ee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9093b951a9d10837ec60891c17b0aa0544f4925d23fdc1632baf558065c61a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-04T04:45:57Z",
    "title_canon_sha256": "bd3c04d3cdceaef65c51b5c54be545748033aaacb4bce70b414b6096ae0e7a52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01143",
    "kind": "arxiv",
    "version": 1
  }
}