Pith Number

pith:NR3N74YT

pith:2010:NR3N74YTAWVTURCM4RPOSVEGEM

not attested not anchored not stored refs pending

Two-valued groups, Kummer varieties and integrable billiards

Victor M. Buchstaber, Vladimir Dragovic

arxiv:1011.2716 v1 · 2010-11-11 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NR3N74YTAWVTURCM4RPOSVEGEM}

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	2026-05-18T04:36:09.683701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c76dff31305ab3a444ce45ee954862311533d32d8ed0f10e89bf965641727f9

Aliases

arxiv: 1011.2716 · arxiv_version: 1011.2716v1 · doi: 10.48550/arxiv.1011.2716 · pith_short_12: NR3N74YTAWVT · pith_short_16: NR3N74YTAWVTURCM · pith_short_8: NR3N74YT

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/NR3N74YTAWVTURCM4RPOSVEGEM \
  | 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: 6c76dff31305ab3a444ce45ee954862311533d32d8ed0f10e89bf965641727f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8488f52fccab0a0d204086d07e1ecc4ec40da1d0b16049bdabf4bd39190dd0c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-11T17:36:23Z",
    "title_canon_sha256": "79023b1b58febbc03b3bc0b90ebc1bf5e5ecfb5ea37376aa10fd3ed8eaaeae93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2716",
    "kind": "arxiv",
    "version": 1
  }
}