Pith Number

pith:VPP47ZQ6

pith:2012:VPP47ZQ6HO6M4CNLNI64SXDHRE

not attested not anchored not stored refs pending

Local GW Invariants of Elliptic Multiple Fibers

Junho Lee

arxiv:1205.1490 v1 · 2012-05-07 · 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{VPP47ZQ6HO6M4CNLNI64SXDHRE}

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	2026-05-18T03:56:11.051737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdfcfe61e3bbcce09ab6a3dc95c67890b6622101d1ebe08ac855c3a2734fb09

Aliases

arxiv: 1205.1490 · arxiv_version: 1205.1490v1 · doi: 10.48550/arxiv.1205.1490 · pith_short_12: VPP47ZQ6HO6M · pith_short_16: VPP47ZQ6HO6M4CNL · pith_short_8: VPP47ZQ6

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/VPP47ZQ6HO6M4CNLNI64SXDHRE \
  | 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: abdfcfe61e3bbcce09ab6a3dc95c67890b6622101d1ebe08ac855c3a2734fb09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279ac926207f729f29bef449ff195ce28eeffa8ad559077f04b946f897d6b6eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-05-07T19:40:41Z",
    "title_canon_sha256": "0d6621acac6239bca41b7dbd2fcc7a1fa521bd98a7fa9f08cb62c0b20c05e179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1490",
    "kind": "arxiv",
    "version": 1
  }
}