Pith Number

pith:MDWBCL4B

pith:2004:MDWBCL4BNGHMVZT5QG3DMEUHKC

not attested not anchored not stored refs pending

Affine structures and non-archimedean analytic spaces

Maxim Kontsevich, Yan Soibelman

arxiv:math/0406564 v1 · 2004-06-28 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDWBCL4BNGHMVZT5QG3DMEUHKC}

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.

Cited by

2 papers in Pith

Special Lagrangian submanifolds and circle collapse on K3

Non-Collapsible Dual Complexes and Fake del Pezzo Surfaces

Receipt and verification

First computed	2026-07-04T14:38:52.209961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ec112f81698ecae67d81b636128750ad0132358c876d236189a8a8142bbe58

Aliases

arxiv: math/0406564 · arxiv_version: math/0406564v1 · doi: 10.48550/arxiv.math/0406564 · pith_short_12: MDWBCL4BNGHM · pith_short_16: MDWBCL4BNGHMVZT5 · pith_short_8: MDWBCL4B

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/MDWBCL4BNGHMVZT5QG3DMEUHKC \
  | 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: 60ec112f81698ecae67d81b636128750ad0132358c876d236189a8a8142bbe58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0064b0bce647871eb44050e30a1ee679b3c7de1df10b832885357e17e5fdb22f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-06-28T10:17:30Z",
    "title_canon_sha256": "4886e37d7911dfb065d86de598ba9e11b9054bf77c4e5ab492fe894e1e26fdb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406564",
    "kind": "arxiv",
    "version": 1
  }
}