Pith Number

pith:56VOYUZM

pith:2007:56VOYUZMYULMGWSZDZLUV5KWQV

not attested not anchored not stored refs pending

The moduli stack of stable relative ideal sheaves

Baosen Wu

arxiv:math/0701074 v2 · 2007-01-02 · 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{56VOYUZMYULMGWSZDZLUV5KWQV}

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.

Cited by

1 paper in Pith

The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

Receipt and verification

First computed	2026-07-05T00:34:10.626569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efaaec532cc516c35a591e574af55685662ea11d59d3a2751b30d66ac3948959

Aliases

arxiv: math/0701074 · arxiv_version: math/0701074v2 · doi: 10.48550/arxiv.math/0701074 · pith_short_12: 56VOYUZMYULM · pith_short_16: 56VOYUZMYULMGWSZ · pith_short_8: 56VOYUZM

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/56VOYUZMYULMGWSZDZLUV5KWQV \
  | 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: efaaec532cc516c35a591e574af55685662ea11d59d3a2751b30d66ac3948959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3c7b77c82c892aed8e1876af425839ab955d10f586a6a0b174e9b53eb1b330",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-01-02T21:15:59Z",
    "title_canon_sha256": "a1d7a47d427e4cf7a3f0d68fb02868ac5a9653bf1a694b2e70395ce1798b934c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701074",
    "kind": "arxiv",
    "version": 2
  }
}