Pith Number

pith:6ZX2LZQC

pith:2012:6ZX2LZQCDCMVNEUDO2PHVZIDIJ

not attested not anchored not stored refs pending

On the tautological rings of M_{g, 1} and its universal Jacobian

Qizheng Yin

arxiv:1206.3783 v2 · 2012-06-17 · 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{6ZX2LZQCDCMVNEUDO2PHVZIDIJ}

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	2026-05-18T03:49:57.822012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f66fa5e6021899569283769e7ae503426f760f65e78b081f2f27baead957cf3b

Aliases

arxiv: 1206.3783 · arxiv_version: 1206.3783v2 · doi: 10.48550/arxiv.1206.3783 · pith_short_12: 6ZX2LZQCDCMV · pith_short_16: 6ZX2LZQCDCMVNEUD · pith_short_8: 6ZX2LZQC

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/6ZX2LZQCDCMVNEUDO2PHVZIDIJ \
  | 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: f66fa5e6021899569283769e7ae503426f760f65e78b081f2f27baead957cf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595231b1e1bc8483fb9131ba31c0f53c1124b5b0e220361474bdc7cddf2364eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-17T19:40:02Z",
    "title_canon_sha256": "def22e658cad1f62027290392faffdd097dceb7f64b0211567c7e97a7d547d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3783",
    "kind": "arxiv",
    "version": 2
  }
}