Pith Number

pith:4QUB34ZJ

pith:2012:4QUB34ZJEUXGGV3DWCPSDJHDQU

not attested not anchored not stored refs pending

Descent theory for semiorthogonal decompositions

Alexey Elagin

arxiv:1206.2881 v1 · 2012-06-13 · 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{4QUB34ZJEUXGGV3DWCPSDJHDQU}

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	2026-05-18T01:29:38.672468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4281df329252e635763b09f21a4e38514d9ce1d6e06ef69408c52e77132d2bf

Aliases

arxiv: 1206.2881 · arxiv_version: 1206.2881v1 · doi: 10.48550/arxiv.1206.2881 · pith_short_12: 4QUB34ZJEUXG · pith_short_16: 4QUB34ZJEUXGGV3D · pith_short_8: 4QUB34ZJ

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/4QUB34ZJEUXGGV3DWCPSDJHDQU \
  | 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: e4281df329252e635763b09f21a4e38514d9ce1d6e06ef69408c52e77132d2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2962f8f5db2ee853a3bdcdce80a4921199ee30e560f7a641dfdd3f22bd15db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-13T17:22:03Z",
    "title_canon_sha256": "c0dfcb60d63538cb4ea0ec8fe96c0a05922460cb1dd910da825d6b70ae4b0d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2881",
    "kind": "arxiv",
    "version": 1
  }
}