Pith Number

pith:QJ5HL5EV

pith:2006:QJ5HL5EVRBD6A7BQFZHMI7II3W

not attested not anchored not stored refs pending

The Dualizing Spectrum, II

John R. Klein

arxiv:math/0610035 v2 · 2006-10-01 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ5HL5EVRBD6A7BQFZHMI7II3W}

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	2026-05-18T02:41:31.778670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827a75f4958847e07c302e4ec47d08dd836eef6ff3ff899481246248224306ac

Aliases

arxiv: math/0610035 · arxiv_version: math/0610035v2 · doi: 10.48550/arxiv.math/0610035 · pith_short_12: QJ5HL5EVRBD6 · pith_short_16: QJ5HL5EVRBD6A7BQ · pith_short_8: QJ5HL5EV

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/QJ5HL5EVRBD6A7BQFZHMI7II3W \
  | 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: 827a75f4958847e07c302e4ec47d08dd836eef6ff3ff899481246248224306ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5265f447a923da927a5d3dd3c245dee4c9c55c6876ce546553c7d5232558b18d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-10-01T04:18:19Z",
    "title_canon_sha256": "65bed41ba1a7ac9a692ddbff7edca47f1cf2bad020c6f85776541d4ac0c8bfbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610035",
    "kind": "arxiv",
    "version": 2
  }
}