Pith Number

pith:HL4ZQGG7

pith:1997:HL4ZQGG7CTHFP25U2J3NQDEWQ2

not attested not anchored not stored refs pending

On Rigidity and the Albanese Variety for Parallelizable Manifolds

J\"org Winkelmann

arxiv:math/9705215 v1 · 1997-05-05 · 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{HL4ZQGG7CTHFP25U2J3NQDEWQ2}

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	2026-05-18T01:05:35.319276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af99818df14ce57ebb4d276d80c9686a39694d2882d0df106474ec60342e803

Aliases

arxiv: math/9705215 · arxiv_version: math/9705215v1 · doi: 10.48550/arxiv.math/9705215 · pith_short_12: HL4ZQGG7CTHF · pith_short_16: HL4ZQGG7CTHFP25U · pith_short_8: HL4ZQGG7

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/HL4ZQGG7CTHFP25U2J3NQDEWQ2 \
  | 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: 3af99818df14ce57ebb4d276d80c9686a39694d2882d0df106474ec60342e803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42ee3d9810d4218bcde6644964b8e26c46505481a44c520b84fc64b6fa3c1b1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1997-05-05T00:00:00Z",
    "title_canon_sha256": "50e9f04a9a91fa3d18d2ecb32977e175c5a857e9941a46bda3d6237b64317568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9705215",
    "kind": "arxiv",
    "version": 1
  }
}