Pith Number

pith:T7WT7Q3G

pith:2011:T7WT7Q3GARWBOM3NDM2MUFXJCX

not attested not anchored not stored refs pending

Complements of hyperplane sub-bundles in projective space bundles over the projective line

Adrien Dubouloz (IMB)

arxiv:1108.6209 v1 · 2011-08-31 · 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{T7WT7Q3GARWBOM3NDM2MUFXJCX}

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	2026-05-18T04:14:26.830761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fed3fc366046c17336d1b34ca16e915eaec697f055d0fcd0c6f4ae036df78fe

Aliases

arxiv: 1108.6209 · arxiv_version: 1108.6209v1 · doi: 10.48550/arxiv.1108.6209 · pith_short_12: T7WT7Q3GARWB · pith_short_16: T7WT7Q3GARWBOM3N · pith_short_8: T7WT7Q3G

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/T7WT7Q3GARWBOM3NDM2MUFXJCX \
  | 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: 9fed3fc366046c17336d1b34ca16e915eaec697f055d0fcd0c6f4ae036df78fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd8a84ad76d100fe18a1631094de2f5b5a306f500f729c84bd9c1cf6ac53358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-31T12:44:17Z",
    "title_canon_sha256": "dd053148106b453b071ef92122e30a03523590cca6156a8b44cdc7789071d8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6209",
    "kind": "arxiv",
    "version": 1
  }
}