Pith Number

pith:DY2VNB4E

pith:2005:DY2VNB4EHJQU3BWBR2HS5KWJ47

not attested not anchored not stored refs pending

Algebraic cycles and the classical groups II: Quaternionic cycles

H Blaine Lawson Jr, Marie-Louise Michelsohn, Paulo Lima-Filho

arxiv:math/0507451 v1 · 2005-07-21 · math.AT · 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{DY2VNB4EHJQU3BWBR2HS5KWJ47}

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	2026-05-18T02:37:59.748414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e355687843a614d86c18e8f2eaac9e7fea8443083adc339a6c60d4dcbc76547

Aliases

arxiv: math/0507451 · arxiv_version: math/0507451v1 · doi: 10.48550/arxiv.math/0507451 · pith_short_12: DY2VNB4EHJQU · pith_short_16: DY2VNB4EHJQU3BWB · pith_short_8: DY2VNB4E

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/DY2VNB4EHJQU3BWBR2HS5KWJ47 \
  | 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: 1e355687843a614d86c18e8f2eaac9e7fea8443083adc339a6c60d4dcbc76547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8986df06e463b29568abc399f2290e1eb820ecd4c1c976d6087b3626c4fe58c2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-07-21T20:26:48Z",
    "title_canon_sha256": "2929f390dac62b62d765a13899558aaf8acc8aa804c54d7b3c4e5e13cc8d65d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507451",
    "kind": "arxiv",
    "version": 1
  }
}