Pith Number

pith:HJOIVIVK

pith:2010:HJOIVIVK5PZPWWNTM7SWBYQ2M3

not attested not anchored not stored refs pending

Second variation of Zhang's lambda-invariant on the moduli space of curves

Robin de Jong

arxiv:1002.1618 v2 · 2010-02-08 · 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{HJOIVIVK5PZPWWNTM7SWBYQ2M3}

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	2026-05-18T03:33:12.268344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5c8aa2aaebf2fb59b367e560e21a66e88adbf15577a8334443767666cc974d

Aliases

arxiv: 1002.1618 · arxiv_version: 1002.1618v2 · doi: 10.48550/arxiv.1002.1618 · pith_short_12: HJOIVIVK5PZP · pith_short_16: HJOIVIVK5PZPWWNT · pith_short_8: HJOIVIVK

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/HJOIVIVK5PZPWWNTM7SWBYQ2M3 \
  | 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: 3a5c8aa2aaebf2fb59b367e560e21a66e88adbf15577a8334443767666cc974d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1397175e1bdd06936588437da77d78aac102f26aa00282446b16a29bd977b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-08T15:00:06Z",
    "title_canon_sha256": "268050a4bb7d325e2bbbe8a5d428e2cbc446564996bf51afd2a7a2ebecdbd657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1618",
    "kind": "arxiv",
    "version": 2
  }
}