Pith Number

pith:6LLZOZMU

pith:2007:6LLZOZMUM6KIX73DSRDNTPW3KV

not attested not anchored not stored refs pending

Geometry of A_g and Its Compactifications

Samuel Grushevsky

arxiv:0711.0094 v4 · 2007-11-01 · 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{6LLZOZMUM6KIX73DSRDNTPW3KV}

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	2026-05-18T04:41:35.219620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d797659467948bff639446d9bedb55678b14d3be67264a68ef819df2dffcfc

Aliases

arxiv: 0711.0094 · arxiv_version: 0711.0094v4 · doi: 10.48550/arxiv.0711.0094 · pith_short_12: 6LLZOZMUM6KI · pith_short_16: 6LLZOZMUM6KIX73D · pith_short_8: 6LLZOZMU

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/6LLZOZMUM6KIX73DSRDNTPW3KV \
  | 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: f2d797659467948bff639446d9bedb55678b14d3be67264a68ef819df2dffcfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfab818c9a6b7d59a8ae31af9a1aec8220aff8bcfb943639ca9bd9786ff6cea5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-11-01T10:10:20Z",
    "title_canon_sha256": "acebf59006bddd5ded06aa3c250777b4195951df455d5583c8bf5db1ae55e06a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0094",
    "kind": "arxiv",
    "version": 4
  }
}