Pith Number

pith:QMTYHILN

pith:2011:QMTYHILNWR3FZN6M63N4CHOLR3

not attested not anchored not stored refs pending

The quotient girth of normed spaces, and an extension of Sch\"affer's dual girth conjecture to Grassmannians

Dmitry Faifman

arxiv:1111.5100 v2 · 2011-11-22 · math.MG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMTYHILNWR3FZN6M63N4CHOLR3}

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	2026-05-18T04:07:17.266532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

832783a16db4765cb7ccf6dbc11dcb8efba952bcaa696da725fc6b03f006e400

Aliases

arxiv: 1111.5100 · arxiv_version: 1111.5100v2 · doi: 10.48550/arxiv.1111.5100 · pith_short_12: QMTYHILNWR3F · pith_short_16: QMTYHILNWR3FZN6M · pith_short_8: QMTYHILN

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/QMTYHILNWR3FZN6M63N4CHOLR3 \
  | 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: 832783a16db4765cb7ccf6dbc11dcb8efba952bcaa696da725fc6b03f006e400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e485a6f6ccd85bec0041cbd4b8fd93dfbd61e5b5a6da43fd8f54a2b3c3bb2602",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-22T05:34:52Z",
    "title_canon_sha256": "0ef2402fb5289d3fd950b876196f5c73c3517f04a3e451a53a778dcb315a9a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5100",
    "kind": "arxiv",
    "version": 2
  }
}