Pith Number

pith:SD7TFDPW

pith:2012:SD7TFDPWIMK3AQFGUPVXKLY2SG

not attested not anchored not stored refs pending

The minimal genus problem for elliptic surfaces

M. J. D. Hamilton

arxiv:1206.1260 v2 · 2012-06-06 · math.GT · 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{SD7TFDPWIMK3AQFGUPVXKLY2SG}

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	2026-05-17T23:52:19.516887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90ff328df64315b040a6a3eb752f1a91bc14c7af4405acbcdf25c1361bd46b02

Aliases

arxiv: 1206.1260 · arxiv_version: 1206.1260v2 · doi: 10.48550/arxiv.1206.1260 · pith_short_12: SD7TFDPWIMK3 · pith_short_16: SD7TFDPWIMK3AQFG · pith_short_8: SD7TFDPW

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/SD7TFDPWIMK3AQFGUPVXKLY2SG \
  | 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: 90ff328df64315b040a6a3eb752f1a91bc14c7af4405acbcdf25c1361bd46b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7f03e451f12752708629c96b00978c2515c6b2e43acc6956368f27a859aba3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-06T16:01:33Z",
    "title_canon_sha256": "a9f6c040b2aa89f9e1993d05968fc45648c7715ccd90fbc3b8cf095ea07f3ad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1260",
    "kind": "arxiv",
    "version": 2
  }
}