Pith Number

pith:O55WAMJA

pith:2001:O55WAMJAFO3UNSPL5SK5NLBDI5

not attested not anchored not stored refs pending

Approximating L2-invariants, and the Atiyah conjecture

Jozef Dodziuk, Peter Linnell, Stuart Yates, Thomas Schick, Varghese Mathai

arxiv:math/0107049 v3 · 2001-07-06 · math.GT · math.FA · math.GR · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O55WAMJAFO3UNSPL5SK5NLBDI5}

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	2026-05-17T23:59:45.054917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777b6031202bb746c9ebec95d6ac234773fde3a16ce3d6d03212ce73afa7250d

Aliases

arxiv: math/0107049 · arxiv_version: math/0107049v3 · doi: 10.48550/arxiv.math/0107049 · pith_short_12: O55WAMJAFO3U · pith_short_16: O55WAMJAFO3UNSPL · pith_short_8: O55WAMJA

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/O55WAMJAFO3UNSPL5SK5NLBDI5 \
  | 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: 777b6031202bb746c9ebec95d6ac234773fde3a16ce3d6d03212ce73afa7250d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea322a2c3f4d9709f33ab36cdcefb3a1c88caf69f2a2ae6b73a49c3cb84e1361",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2001-07-06T13:56:49Z",
    "title_canon_sha256": "7b4467d302071fc62c169d833cf8613c603741cd332d66bbec9a5559f7960556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107049",
    "kind": "arxiv",
    "version": 3
  }
}