Pith Number

pith:DGKUDW4X

pith:2011:DGKUDW4XWT4ECAB3FWDTJLGT5K

not attested not anchored not stored refs pending

Virtual normalization and virtual fundamental classes

Alberto L\'opez Mart\'in

arxiv:1102.4294 v1 · 2011-02-21 · 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{DGKUDW4XWT4ECAB3FWDTJLGT5K}

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	2026-05-18T04:28:10.486827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

199541db97b4f841003b2d8734acd3eabbfe48e4521bac6bea1e317f5e90d1ad

Aliases

arxiv: 1102.4294 · arxiv_version: 1102.4294v1 · doi: 10.48550/arxiv.1102.4294 · pith_short_12: DGKUDW4XWT4E · pith_short_16: DGKUDW4XWT4ECAB3 · pith_short_8: DGKUDW4X

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/DGKUDW4XWT4ECAB3FWDTJLGT5K \
  | 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: 199541db97b4f841003b2d8734acd3eabbfe48e4521bac6bea1e317f5e90d1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a461a714ee66db3bc2543093400d6c86eee971870277f95a7952c43168d48712",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-21T18:03:30Z",
    "title_canon_sha256": "70945f99de02edaefb7cdc01ba883d5a7538db971a470c92e1a81b67b0eef802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4294",
    "kind": "arxiv",
    "version": 1
  }
}