Pith Number

pith:TK6G3OHF

pith:2011:TK6G3OHFOBYTLQ2BEHKYPUCBDN

not attested not anchored not stored refs pending

Geometry of unitary orbits of pinching operators

Eduardo Chiumiento, Mar\'ia E. Di Iorio y Lucero

arxiv:1105.1686 v1 · 2011-05-09 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK6G3OHFOBYTLQ2BEHKYPUCBDN}

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	2026-05-18T04:22:32.682939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abc6db8e5707135c34121d587d0411b5a897c067997d2b1811b549eb07e6054

Aliases

arxiv: 1105.1686 · arxiv_version: 1105.1686v1 · doi: 10.48550/arxiv.1105.1686 · pith_short_12: TK6G3OHFOBYT · pith_short_16: TK6G3OHFOBYTLQ2B · pith_short_8: TK6G3OHF

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/TK6G3OHFOBYTLQ2BEHKYPUCBDN \
  | 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: 9abc6db8e5707135c34121d587d0411b5a897c067997d2b1811b549eb07e6054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f61ae3763a97d9599783bc5094ffd49fb4f10963a0f1b264da1d732464ad790",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-09T14:33:11Z",
    "title_canon_sha256": "b09977eb4683f26b0a8b7a8b0797177dd0b7387871249cfa3eceae5e901aa7dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1686",
    "kind": "arxiv",
    "version": 1
  }
}