Pith Number

pith:TEIJRITG

pith:2012:TEIJRITGRS2FBFRCR6OLJSFDDC

not attested not anchored not stored refs pending

Mass angular momentum inequality for axisymmetric vacuum data with small trace

Xin Zhou

arxiv:1209.1605 v1 · 2012-09-07 · 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{TEIJRITGRS2FBFRCR6OLJSFDDC}

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	2026-05-18T03:46:04.368776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

991098a2668cb45096228f9cb4c8a318b6c391d4ea6662d63e3bbc96e44cd146

Aliases

arxiv: 1209.1605 · arxiv_version: 1209.1605v1 · doi: 10.48550/arxiv.1209.1605 · pith_short_12: TEIJRITGRS2F · pith_short_16: TEIJRITGRS2FBFRC · pith_short_8: TEIJRITG

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/TEIJRITGRS2FBFRCR6OLJSFDDC \
  | 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: 991098a2668cb45096228f9cb4c8a318b6c391d4ea6662d63e3bbc96e44cd146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18426353390542cea19017f5905943315b4fe12a44ddb07ff0593670a428e7d8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-07T18:22:29Z",
    "title_canon_sha256": "19df0cfc25f1ed25c9b58f0ae334648e59a9c670f92b3ae18694e611d7050c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1605",
    "kind": "arxiv",
    "version": 1
  }
}