Pith Number

pith:DIA6L7FF

pith:2010:DIA6L7FFTXENWBX7CPB2HZRUZA

not attested not anchored not stored refs pending

Deriving Deligne-Mumford Stacks with Perfect Obstruction Theories

Timo Sch\"urg

arxiv:1005.3945 v4 · 2010-05-21 · 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{DIA6L7FFTXENWBX7CPB2HZRUZA}

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	2026-05-18T02:38:18.500510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a01e5fca59dc8db06ff13c3a3e634c838f823cd18a373bdeedab25ca1cc1031

Aliases

arxiv: 1005.3945 · arxiv_version: 1005.3945v4 · doi: 10.48550/arxiv.1005.3945 · pith_short_12: DIA6L7FFTXEN · pith_short_16: DIA6L7FFTXENWBX7 · pith_short_8: DIA6L7FF

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/DIA6L7FFTXENWBX7CPB2HZRUZA \
  | 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: 1a01e5fca59dc8db06ff13c3a3e634c838f823cd18a373bdeedab25ca1cc1031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc5bdef6e07922eb634daa010cd53b8909c8200a6541749521b52e6104e5ffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-21T12:25:57Z",
    "title_canon_sha256": "96d3e7bd32c0626e0f065a3939bb846c20794837436c11d06bfec4b43a402683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3945",
    "kind": "arxiv",
    "version": 4
  }
}