Pith Number

pith:TBOVYKKY

pith:2008:TBOVYKKYPYU2TTQB3KPB556YDS

not attested not anchored not stored refs pending

Global fixed points for centralizers and Morita's Theorem

John Franks, Michael Handel

arxiv:0801.0736 v1 · 2008-01-04 · math.DS · 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{TBOVYKKYPYU2TTQB3KPB556YDS}

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	2026-05-18T02:38:19.251730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

985d5c29587e29a9ce01da9e1ef7d81cb8f686f960d1a6019518e2fee72b0e69

Aliases

arxiv: 0801.0736 · arxiv_version: 0801.0736v1 · doi: 10.48550/arxiv.0801.0736 · pith_short_12: TBOVYKKYPYU2 · pith_short_16: TBOVYKKYPYU2TTQB · pith_short_8: TBOVYKKY

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/TBOVYKKYPYU2TTQB3KPB556YDS \
  | 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: 985d5c29587e29a9ce01da9e1ef7d81cb8f686f960d1a6019518e2fee72b0e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39aa9515518edee11315006f7919ad28aba900571f27403bb334e7acbc9a8bb9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2008-01-04T20:47:27Z",
    "title_canon_sha256": "52ad730f9b66ca1402e982676fcc33e39bb8c391a256674f87f34ff86ea1fdbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0736",
    "kind": "arxiv",
    "version": 1
  }
}