Pith Number

pith:G3X6DV7Z

pith:2012:G3X6DV7ZJAFX5CQPYF7M5XDGT2

not attested not anchored not stored refs pending

Eigenvalue estimate and compactness for closed $f$-minimal surfaces

Detang Zhou, Tito Mejia, Xu Cheng

arxiv:1210.8448 v1 · 2012-10-31 · 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{G3X6DV7ZJAFX5CQPYF7M5XDGT2}

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	2026-05-18T03:41:44.418218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36efe1d7f9480b7e8a0fc17ecedc669ea5642bf8a51f16b7eae424ce90b9a8da

Aliases

arxiv: 1210.8448 · arxiv_version: 1210.8448v1 · doi: 10.48550/arxiv.1210.8448 · pith_short_12: G3X6DV7ZJAFX · pith_short_16: G3X6DV7ZJAFX5CQP · pith_short_8: G3X6DV7Z

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/G3X6DV7ZJAFX5CQPYF7M5XDGT2 \
  | 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: 36efe1d7f9480b7e8a0fc17ecedc669ea5642bf8a51f16b7eae424ce90b9a8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e651daae9dc82ba15953f627285a5d45fe90b4e26b95f145d794d5ea8d68dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-31T19:34:39Z",
    "title_canon_sha256": "6a10ca5de9041536e31dadd02731198aed15319d095bb64d6c6c0ac83b34572a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8448",
    "kind": "arxiv",
    "version": 1
  }
}