Pith Number

pith:FOC7O2N5

pith:2010:FOC7O2N5NTLC7ER2BTN334URBD

not attested not anchored not stored refs pending

A Note on Formality and Singularities of Moduli Spaces

Ziyu Zhang

arxiv:1011.4689 v1 · 2010-11-21 · 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{FOC7O2N5NTLC7ER2BTN334URBD}

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	2026-05-18T04:35:04.169841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b85f769bd6cd62f923a0cdbbdf29108cc9e630a39db99da08900b56199abeef

Aliases

arxiv: 1011.4689 · arxiv_version: 1011.4689v1 · doi: 10.48550/arxiv.1011.4689 · pith_short_12: FOC7O2N5NTLC · pith_short_16: FOC7O2N5NTLC7ER2 · pith_short_8: FOC7O2N5

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/FOC7O2N5NTLC7ER2BTN334URBD \
  | 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: 2b85f769bd6cd62f923a0cdbbdf29108cc9e630a39db99da08900b56199abeef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7dfd8e13a9dfd0f7c366fac28a38ee6afa54108689d87e9ddb9e35b0e8c03a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-21T18:54:54Z",
    "title_canon_sha256": "e7a5e5f1ac50337ba0b307553c29e597d353a71d9859ce4a6c7368f4c0d2d0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4689",
    "kind": "arxiv",
    "version": 1
  }
}