Pith Number

pith:455NKOJK

pith:2013:455NKOJKFW5KTTJ2O6DJRB7JTT

not attested not anchored not stored refs pending

Markoff-Rosenberger triples in arithmetic progression

Enrique Gonz\'alez-Jim\'enez, Jos\'e M. Tornero

arxiv:1301.5029 v1 · 2013-01-21 · math.NT · 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{455NKOJKFW5KTTJ2O6DJRB7JTT}

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	2026-05-18T02:37:44.955198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77ad5392a2dbaa9cd3a77869887e99cdfb69625f21fa75150ccde84fd87b036

Aliases

arxiv: 1301.5029 · arxiv_version: 1301.5029v1 · doi: 10.48550/arxiv.1301.5029 · pith_short_12: 455NKOJKFW5K · pith_short_16: 455NKOJKFW5KTTJ2 · pith_short_8: 455NKOJK

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/455NKOJKFW5KTTJ2O6DJRB7JTT \
  | 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: e77ad5392a2dbaa9cd3a77869887e99cdfb69625f21fa75150ccde84fd87b036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f76000b8a9ad3bb306a556fc10f6ac53ecf993b0b4b0e406e1b0ca9fdb22b7f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-21T22:20:13Z",
    "title_canon_sha256": "abbdf5fdf8b435488d117ebf61fe50f74d5d953b1c04077cb19a47f9ff8bd6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5029",
    "kind": "arxiv",
    "version": 1
  }
}