Pith Number

pith:TFH7QDUO

pith:2013:TFH7QDUOO3WXURMPUYA3WW7CMD

not attested not anchored not stored refs pending

Stability properties and gap theorem for complete $f$-minimal hypersurfaces

Detang Zhou, Xu Cheng

arxiv:1307.5099 v1 · 2013-07-18 · 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{TFH7QDUOO3WXURMPUYA3WW7CMD}

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	2026-05-18T03:18:05.679553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994ff80e8e76ed7a458fa601bb5be260ea1dc8981e7632c2cf558082c6044a5a

Aliases

arxiv: 1307.5099 · arxiv_version: 1307.5099v1 · doi: 10.48550/arxiv.1307.5099 · pith_short_12: TFH7QDUOO3WX · pith_short_16: TFH7QDUOO3WXURMP · pith_short_8: TFH7QDUO

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/TFH7QDUOO3WXURMPUYA3WW7CMD \
  | 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: 994ff80e8e76ed7a458fa601bb5be260ea1dc8981e7632c2cf558082c6044a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07afd1cb2bfa969868245245e95384e0e45edce93640f2e9c4e7018b09789abb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-18T23:44:14Z",
    "title_canon_sha256": "aaf460fac65eae753bba1154b2c9db03b62cf64c74c07d3581d6aa84528e655e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5099",
    "kind": "arxiv",
    "version": 1
  }
}