Pith Number

pith:3FSVS3BJ

pith:2012:3FSVS3BJDT6NPHRAWAX2DWX62K

not attested not anchored not stored refs pending

Tightness and efficiency of irreducible automorphisms of handlebodies II

Leonardo N. Carvalho

arxiv:1211.0204 v3 · 2012-11-01 · 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{3FSVS3BJDT6NPHRAWAX2DWX62K}

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	2026-05-18T03:24:52.553869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d965596c291cfcd79e20b02fa1dafed29e438cd12355457d38ca909fca87da06

Aliases

arxiv: 1211.0204 · arxiv_version: 1211.0204v3 · doi: 10.48550/arxiv.1211.0204 · pith_short_12: 3FSVS3BJDT6N · pith_short_16: 3FSVS3BJDT6NPHRA · pith_short_8: 3FSVS3BJ

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/3FSVS3BJDT6NPHRAWAX2DWX62K \
  | 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: d965596c291cfcd79e20b02fa1dafed29e438cd12355457d38ca909fca87da06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0ef96e34f887a5c5c781584ad24cb1c36bced70c34ccdaa78a445a5e50e662",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-01T15:25:28Z",
    "title_canon_sha256": "a338e6f019ce2a84c4233cf0296ef92ca443c7be3510e48de96bc7ca254602af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0204",
    "kind": "arxiv",
    "version": 3
  }
}