Pith Number

pith:TF5INGUW

pith:2013:TF5INGUWGVNPT36HCUZIYR3RJ5

not attested not anchored not stored refs pending

Minimizing properties of critical points of quasi-local energy

Mu-Tao Wang, PoNing Chen, Shing-Tung Yau

arxiv:1302.5321 v2 · 2013-02-21 · 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{TF5INGUWGVNPT36HCUZIYR3RJ5}

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	2026-05-18T01:51:34.485984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997a869a96355af9efc715328c47714f65b3c3a1e7648ad10649060e93ed667a

Aliases

arxiv: 1302.5321 · arxiv_version: 1302.5321v2 · doi: 10.48550/arxiv.1302.5321 · pith_short_12: TF5INGUWGVNP · pith_short_16: TF5INGUWGVNPT36H · pith_short_8: TF5INGUW

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/TF5INGUWGVNPT36HCUZIYR3RJ5 \
  | 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: 997a869a96355af9efc715328c47714f65b3c3a1e7648ad10649060e93ed667a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "347e3c5e37557e3177410291ea3cfb296a416d567f70d237856656caf33557b1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-21T16:16:41Z",
    "title_canon_sha256": "c88bc8ed4f01b924995039c051c935913ac41e51d8ef4bd5d1a2a6a725bd937e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5321",
    "kind": "arxiv",
    "version": 2
  }
}