Pith Number

pith:IWPRUEQ3

pith:2009:IWPRUEQ3IMPG4VL747RN3JZZYK

not attested not anchored not stored refs pending

Some estimates of Wang-Yau quasilocal energy

Luen-fai Tam, Naqing Xie, Pengzi Miao

arxiv:0909.0880 v1 · 2009-09-04 · 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{IWPRUEQ3IMPG4VL747RN3JZZYK}

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	2026-05-18T02:11:59.779979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

459f1a121b431e6e557fe7e2dda739c284e574bc6f4524a3b4f1ecd13d7245e0

Aliases

arxiv: 0909.0880 · arxiv_version: 0909.0880v1 · doi: 10.48550/arxiv.0909.0880 · pith_short_12: IWPRUEQ3IMPG · pith_short_16: IWPRUEQ3IMPG4VL7 · pith_short_8: IWPRUEQ3

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/IWPRUEQ3IMPG4VL747RN3JZZYK \
  | 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: 459f1a121b431e6e557fe7e2dda739c284e574bc6f4524a3b4f1ecd13d7245e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9b1f7431a21a23841b61b115d89925ba8e70d6be9d10e0e27fce6bc1d54c3f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-04T12:42:50Z",
    "title_canon_sha256": "ae029cf0bc67f4a464fcf1e727b8f5c9cbf8726d8b98ca25839bcd67bf7f83e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0880",
    "kind": "arxiv",
    "version": 1
  }
}