Pith Number

pith:X4IPBOPZ

pith:2011:X4IPBOPZ2JGEQMQ3G2T4KM4Q2Z

not attested not anchored not stored refs pending

Motives of Deligne-Mumford Stacks

Utsav Choudhury

arxiv:1109.5288 v3 · 2011-09-24 · math.AG · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4IPBOPZ2JGEQMQ3G2T4KM4Q2Z}

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	2026-05-18T03:46:47.667461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf10f0b9f9d24c48321b36a7c53390d6408094fb91e32de5fcba87906af45cef

Aliases

arxiv: 1109.5288 · arxiv_version: 1109.5288v3 · doi: 10.48550/arxiv.1109.5288 · pith_short_12: X4IPBOPZ2JGE · pith_short_16: X4IPBOPZ2JGEQMQ3 · pith_short_8: X4IPBOPZ

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/X4IPBOPZ2JGEQMQ3G2T4KM4Q2Z \
  | 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: bf10f0b9f9d24c48321b36a7c53390d6408094fb91e32de5fcba87906af45cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f2ba979e735d4b3271790638f17fef770f813ef93b29101b504811880d8679",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-24T17:13:27Z",
    "title_canon_sha256": "600a6fcb0584182a6b5b9d06ee81e3e0369a2eea788cdf5a66d2291e255d96ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5288",
    "kind": "arxiv",
    "version": 3
  }
}