Pith Number

pith:QKYOBHIV

pith:2013:QKYOBHIVPFZDRBWNV5LDTOOVPL

not attested not anchored not stored refs pending

Globalization with probabilistic convexity

Nan Li

arxiv:1310.6815 v2 · 2013-10-25 · math.DG · 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{QKYOBHIVPFZDRBWNV5LDTOOVPL}

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	2026-05-18T01:41:00.240704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b0e09d1579723886cdaf5639b9d57aeebf0d8846258a69197e231ae87d8f98

Aliases

arxiv: 1310.6815 · arxiv_version: 1310.6815v2 · doi: 10.48550/arxiv.1310.6815 · pith_short_12: QKYOBHIVPFZD · pith_short_16: QKYOBHIVPFZDRBWN · pith_short_8: QKYOBHIV

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/QKYOBHIVPFZDRBWNV5LDTOOVPL \
  | 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: 82b0e09d1579723886cdaf5639b9d57aeebf0d8846258a69197e231ae87d8f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6a5026f4fcdf30ffb115007a38bc6d85e9ee569c01d78aacf588c0246e1c73",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-25T04:19:32Z",
    "title_canon_sha256": "726bf3a88115018096067288ce770acd08553e12d86f089c02b133bd6826cb4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6815",
    "kind": "arxiv",
    "version": 2
  }
}