Pith Number

pith:QSGM6KDI

pith:2012:QSGM6KDIJZXG7VT6HMYMB5Z5H3

not attested not anchored not stored refs pending

Monotonicity formulae, vanishing theorems and some geometric applications

Hezi Lin, Yuxin Dong

arxiv:1203.5411 v1 · 2012-03-24 · 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{QSGM6KDIJZXG7VT6HMYMB5Z5H3}

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	2026-05-18T03:59:15.163641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

848ccf28684e6e6fd67e3b30c0f73d3ec7777d0d4a7bb4468dc4afe3ee839d76

Aliases

arxiv: 1203.5411 · arxiv_version: 1203.5411v1 · doi: 10.48550/arxiv.1203.5411 · pith_short_12: QSGM6KDIJZXG · pith_short_16: QSGM6KDIJZXG7VT6 · pith_short_8: QSGM6KDI

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/QSGM6KDIJZXG7VT6HMYMB5Z5H3 \
  | 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: 848ccf28684e6e6fd67e3b30c0f73d3ec7777d0d4a7bb4468dc4afe3ee839d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c30256ccc91819ddc5b06435fd7c859e9392c4ab6356f1ec47252b538467a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-24T13:31:45Z",
    "title_canon_sha256": "a4ccd84ef4fb9d016fe1c19eaad1f015662522efafa216a81d1417f4c610e10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5411",
    "kind": "arxiv",
    "version": 1
  }
}