Pith Number

pith:K4SIP3YD

pith:2011:K4SIP3YDYLPFUFXB2DYGRO5QIQ

not attested not anchored not stored refs pending

Moduli space of pairs over projective stacks

Elena Andreini

arxiv:1105.5637 v1 · 2011-05-27 · 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{K4SIP3YDYLPFUFXB2DYGRO5QIQ}

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	2026-05-18T04:21:11.232528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572487ef03c2de5a16e1d0f068bbb0443d0ea7245f72e9121baff8d8738f5b02

Aliases

arxiv: 1105.5637 · arxiv_version: 1105.5637v1 · doi: 10.48550/arxiv.1105.5637 · pith_short_12: K4SIP3YDYLPF · pith_short_16: K4SIP3YDYLPFUFXB · pith_short_8: K4SIP3YD

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/K4SIP3YDYLPFUFXB2DYGRO5QIQ \
  | 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: 572487ef03c2de5a16e1d0f068bbb0443d0ea7245f72e9121baff8d8738f5b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "719640e8897145a2f9f7119c3e4f9af77530bf9d8154650a1719d516779e31a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-27T19:43:41Z",
    "title_canon_sha256": "e45bd0592afc1af007d8bafbb282fc4ba667ec21ba3c86d78843093a7b432890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5637",
    "kind": "arxiv",
    "version": 1
  }
}