Pith Number

pith:6OQJN4KM

pith:2009:6OQJN4KML247RO5F6BR6776JRG

not attested not anchored not stored refs pending

On geometric problems related to Brown-York and Liu-Yau quasilocal mass

Luen-fai Tam, Pengzi Miao, Yuguang Shi

arxiv:0906.5451 v1 · 2009-06-30 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OQJN4KML247RO5F6BR6776JRG}

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	2026-05-18T02:13:11.824467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a096f14c5eb9f8bba5f063efffc989a2ddc8a844197c9c519b6e90268e25fa

Aliases

arxiv: 0906.5451 · arxiv_version: 0906.5451v1 · doi: 10.48550/arxiv.0906.5451 · pith_short_12: 6OQJN4KML247 · pith_short_16: 6OQJN4KML247RO5F · pith_short_8: 6OQJN4KM

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/6OQJN4KML247RO5F6BR6776JRG \
  | 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: f3a096f14c5eb9f8bba5f063efffc989a2ddc8a844197c9c519b6e90268e25fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8efd3abee952e6d2815bac44e5f5ce62aefe2bf287738f735a31762fbd585a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-06-30T09:39:39Z",
    "title_canon_sha256": "659eb42ae8ccb2f6b761c98d0058da7d999011e3664d3ba45c0e55196c9b1709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5451",
    "kind": "arxiv",
    "version": 1
  }
}