Pith Number

pith:JFVLSWDO

pith:2010:JFVLSWDOWFC5VVYMXAQE4ZOJG6

not attested not anchored not stored refs pending

The $\bar\mu$-invariant of Seifert fibered homology spheres and the Dirac operator

Daniel Ruberman, Nikolai Saveliev

arxiv:1009.3201 v1 · 2010-09-16 · 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{JFVLSWDOWFC5VVYMXAQE4ZOJG6}

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	2026-05-18T04:40:46.761535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496ab9586eb145dad70cb8204e65c937954a44dc88210c69fb48cbcf78c998b6

Aliases

arxiv: 1009.3201 · arxiv_version: 1009.3201v1 · doi: 10.48550/arxiv.1009.3201 · pith_short_12: JFVLSWDOWFC5 · pith_short_16: JFVLSWDOWFC5VVYM · pith_short_8: JFVLSWDO

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/JFVLSWDOWFC5VVYMXAQE4ZOJG6 \
  | 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: 496ab9586eb145dad70cb8204e65c937954a44dc88210c69fb48cbcf78c998b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6bc748bfee47dccd8f5194ebed6db385ac077bf349dd58ed265a84e7b1b0868",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-16T15:39:26Z",
    "title_canon_sha256": "2d9dad50f62c94049c0c2f803ad0dd089b0586791f7cf3d01ead6015634e8bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3201",
    "kind": "arxiv",
    "version": 1
  }
}