Pith Number

pith:ZWM5HROI

pith:2011:ZWM5HROICAADYTOF3ZQ6ONF6XI

not attested not anchored not stored refs pending

Curvature tensor under the Ricci-Harmonic flow

Anqiang Zhu, Liang Cheng

arxiv:1101.1144 v1 · 2011-01-06 · 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{ZWM5HROICAADYTOF3ZQ6ONF6XI}

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	2026-05-18T04:32:00.452299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd99d3c5c810003c4dc5de61e734beba1ccd6c35bfd2ddc561682ac50b631db4

Aliases

arxiv: 1101.1144 · arxiv_version: 1101.1144v1 · doi: 10.48550/arxiv.1101.1144 · pith_short_12: ZWM5HROICAAD · pith_short_16: ZWM5HROICAADYTOF · pith_short_8: ZWM5HROI

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/ZWM5HROICAADYTOF3ZQ6ONF6XI \
  | 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: cd99d3c5c810003c4dc5de61e734beba1ccd6c35bfd2ddc561682ac50b631db4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c8344732542db76cac7907fdc86c346a8549c0822a3f6c8fdf3ab4ff39724b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-06T05:25:00Z",
    "title_canon_sha256": "eb65be79d07eeea3aa28dee188876d8ee4338fdc2f1a6f9c36f21a032dff728b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1144",
    "kind": "arxiv",
    "version": 1
  }
}