Pith Number

pith:MXTOD7FM

pith:2017:MXTOD7FMZGGB22DVOYPMKYNPAW

not attested not anchored not stored refs pending

Groups and monoids of Pythagorean triples connected to conics

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1712.08812 v1 · 2017-12-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXTOD7FMZGGB22DVOYPMKYNPAW}

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	2026-05-18T00:27:16.729290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e6e1fcacc98c1d6875761ec561af0599074e7ccf3c0938d7ffa38c9e5f9668

Aliases

arxiv: 1712.08812 · arxiv_version: 1712.08812v1 · doi: 10.48550/arxiv.1712.08812 · pith_short_12: MXTOD7FMZGGB · pith_short_16: MXTOD7FMZGGB22DV · pith_short_8: MXTOD7FM

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/MXTOD7FMZGGB22DVOYPMKYNPAW \
  | 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: 65e6e1fcacc98c1d6875761ec561af0599074e7ccf3c0938d7ffa38c9e5f9668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dce951fc91fcf5eeb8138bf33189c5f11d5a7d7ef7083240e99544bbf860c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-23T17:47:11Z",
    "title_canon_sha256": "5f58bd5efeeb3eb32e836abd90796cb6429b99abbb0f2e6d6b12b5bb5c8c9abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08812",
    "kind": "arxiv",
    "version": 1
  }
}