Pith Number

pith:RAELXR7A

pith:2012:RAELXR7AHFVTXIUDONS6CSXWPB

not attested not anchored not stored refs pending

An almost-Schur type lemma for symmetric $(2,0)$ tensors and applications

Xu Cheng

arxiv:1208.2152 v1 · 2012-08-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAELXR7AHFVTXIUDONS6CSXWPB}

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	2026-05-18T01:22:26.380627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8808bbc7e0396b3ba2837365e14af678782b4cfc46b0fcac18ebfc7bbb78795e

Aliases

arxiv: 1208.2152 · arxiv_version: 1208.2152v1 · doi: 10.48550/arxiv.1208.2152 · pith_short_12: RAELXR7AHFVT · pith_short_16: RAELXR7AHFVTXIUD · pith_short_8: RAELXR7A

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/RAELXR7AHFVTXIUDONS6CSXWPB \
  | 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: 8808bbc7e0396b3ba2837365e14af678782b4cfc46b0fcac18ebfc7bbb78795e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd946bc56f7dbfb6016bf7db34e16006a76fbf933ef2f6c6958134b86e2e4477",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-10T12:02:54Z",
    "title_canon_sha256": "8a3e5b2924f045b19ff4f0daa70a4cd1c38158a1aa5bff8048d614e3b9926380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2152",
    "kind": "arxiv",
    "version": 1
  }
}