Pith Number

pith:B2KBTUL3

pith:2011:B2KBTUL3R356TRLZNDYXST442Q

not attested not anchored not stored refs pending

Cluster X-varieties at infinity

A.B. Goncharov, V.V. Fock

arxiv:1104.0407 v2 · 2011-04-03 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2KBTUL3R356TRLZNDYXST442Q}

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	2026-05-18T01:29:22.269223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e9419d17b8efbe9c57968f1794f9cd40c97171f366db253b7eac85f8fc786b1

Aliases

arxiv: 1104.0407 · arxiv_version: 1104.0407v2 · doi: 10.48550/arxiv.1104.0407 · pith_short_12: B2KBTUL3R356 · pith_short_16: B2KBTUL3R356TRLZ · pith_short_8: B2KBTUL3

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/B2KBTUL3R356TRLZNDYXST442Q \
  | 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: 0e9419d17b8efbe9c57968f1794f9cd40c97171f366db253b7eac85f8fc786b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c73791a9ac84206f374f7f5578a9a1ccd5347b02a093b0381440a059d14eaa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-03T17:13:54Z",
    "title_canon_sha256": "53c63f8d87ea7e3db74ceb985eeae6644d7427cb63d7136b313c9090ee043a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0407",
    "kind": "arxiv",
    "version": 2
  }
}