Pith Number

pith:QB7HNOIO

pith:2013:QB7HNOIONMQAHTJJJKAOPZVK2O

not attested not anchored not stored refs pending

Jung's Theorem and fixed points for $p$-uniformly convex spaces

Renlong Miao

arxiv:1305.1453 v1 · 2013-05-07 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QB7HNOIONMQAHTJJJKAOPZVK2O}

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	2026-05-18T03:26:21.707806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

807e76b90e6b2003cd294a80e7e6aad3a16b749c6dd6d5dc498ff9e2809cdb27

Aliases

arxiv: 1305.1453 · arxiv_version: 1305.1453v1 · doi: 10.48550/arxiv.1305.1453 · pith_short_12: QB7HNOIONMQA · pith_short_16: QB7HNOIONMQAHTJJ · pith_short_8: QB7HNOIO

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/QB7HNOIONMQAHTJJJKAOPZVK2O \
  | 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: 807e76b90e6b2003cd294a80e7e6aad3a16b749c6dd6d5dc498ff9e2809cdb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e13cb1c3a4e16a6c7d7525832a9c92be58622b3537dd0adf6d4070620ee9f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-05-07T09:57:57Z",
    "title_canon_sha256": "f783c8543dd0772388de8aceaa18967bd27831c06e71eb7a9929df8cb347527e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1453",
    "kind": "arxiv",
    "version": 1
  }
}