Pith Number

pith:VB6U26J5

pith:1999:VB6U26J5PNLMW424FCL66BN6W3

not attested not anchored not stored refs pending

Algebraic Cycles and the Classical Groups - Part I, Real Cycles

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

arxiv:math/9912154 v1 · 1999-12-18 · 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{VB6U26J5PNLMW424FCL66BN6W3}

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	2026-05-18T03:47:10.472488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a87d4d793d7b56cb735c2897ef05beb6def2a9659a8a88bf70a4d17ceb646c74

Aliases

arxiv: math/9912154 · arxiv_version: math/9912154v1 · doi: 10.48550/arxiv.math/9912154 · pith_short_12: VB6U26J5PNLM · pith_short_16: VB6U26J5PNLMW424 · pith_short_8: VB6U26J5

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/VB6U26J5PNLMW424FCL66BN6W3 \
  | 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: a87d4d793d7b56cb735c2897ef05beb6def2a9659a8a88bf70a4d17ceb646c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0490200fd1c3a84a6ede0c39aa194cd9e0964dc426e6221606fe73275f6f0ff4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "1999-12-18T23:45:36Z",
    "title_canon_sha256": "d942efebcc1d364c4d05bfd45de3883edb9e437ca993db0b2b4713988f6d4073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912154",
    "kind": "arxiv",
    "version": 1
  }
}