Pith Number

pith:VJXI6IUC

pith:2011:VJXI6IUCF4HOWQZ6K3FP7DAMKW

not attested not anchored not stored refs pending

Affine cones over Fano threefolds and additive group actions

Mikhail Zaidenberg, Takashi Kishimoto, Yuri Prokhorov

arxiv:1106.1312 v1 · 2011-06-07 · 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{VJXI6IUCF4HOWQZ6K3FP7DAMKW}

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	2026-05-18T04:20:23.912885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6e8f22822f0eeb433e56caff8c0c5586d832c702b82bacabde24f20aca38b8

Aliases

arxiv: 1106.1312 · arxiv_version: 1106.1312v1 · doi: 10.48550/arxiv.1106.1312 · pith_short_12: VJXI6IUCF4HO · pith_short_16: VJXI6IUCF4HOWQZ6 · pith_short_8: VJXI6IUC

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/VJXI6IUCF4HOWQZ6K3FP7DAMKW \
  | 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: aa6e8f22822f0eeb433e56caff8c0c5586d832c702b82bacabde24f20aca38b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09cf6ecbdcde502349872ae5314407bc32c7acdbac156fc8f8707f7281d2161e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-07T10:38:12Z",
    "title_canon_sha256": "879ecf1b3e982eee0c80eafc4615684da11fd027cd40d3628178aaa81cc71144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1312",
    "kind": "arxiv",
    "version": 1
  }
}