Pith Number

pith:TNBZRIAL

pith:2010:TNBZRIALZ3IRSUST4B5HOHRLGH

not attested not anchored not stored refs pending

Yamabe flow and the Myers-type theorem on complete manifolds

Liang Cheng, Li Ma

arxiv:1003.3914 v4 · 2010-03-20 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNBZRIALZ3IRSUST4B5HOHRLGH}

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	2026-05-18T04:34:46.134037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4398a00bced1195253e07a771e2b31ca773da1b95a6795613451879f6483e9

Aliases

arxiv: 1003.3914 · arxiv_version: 1003.3914v4 · doi: 10.48550/arxiv.1003.3914 · pith_short_12: TNBZRIALZ3IR · pith_short_16: TNBZRIALZ3IRSUST · pith_short_8: TNBZRIAL

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/TNBZRIALZ3IRSUST4B5HOHRLGH \
  | 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: 9b4398a00bced1195253e07a771e2b31ca773da1b95a6795613451879f6483e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aacdd1ee037e198d574e62c66ff9bf521beb706e1d7ea598628ffe35405debb9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-20T09:22:34Z",
    "title_canon_sha256": "cacbe441ee2d4a0f7c30225b8d37ce60de970b9c3a7ead7ca1feffe7cc1aa129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3914",
    "kind": "arxiv",
    "version": 4
  }
}