Pith Number

pith:VO7UAKEM

pith:2011:VO7UAKEM4CDCCJLJA6ZMKUN3H5

not attested not anchored not stored refs pending

Total Scalar Curvature and Harmonic Curvature

Gabjin Yun, Jeongwook Chang, Seungsu Hwang

arxiv:1111.6861 v1 · 2011-11-29 · 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{VO7UAKEM4CDCCJLJA6ZMKUN3H5}

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	2026-05-18T04:07:28.386520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abbf40288ce08621256907b2c551bb3f68652e35a6008a2dada24fefeb2f4560

Aliases

arxiv: 1111.6861 · arxiv_version: 1111.6861v1 · doi: 10.48550/arxiv.1111.6861 · pith_short_12: VO7UAKEM4CDC · pith_short_16: VO7UAKEM4CDCCJLJ · pith_short_8: VO7UAKEM

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/VO7UAKEM4CDCCJLJA6ZMKUN3H5 \
  | 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: abbf40288ce08621256907b2c551bb3f68652e35a6008a2dada24fefeb2f4560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2cfcc6a3b21f17010cf29a352e9186dac738e462c8a9cace3364f20e660f82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-29T15:47:25Z",
    "title_canon_sha256": "2d62fa3a1cffd432b0ffd88ad3dbfb57e15f27b7ed74867c9b1a3cc668fd5785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6861",
    "kind": "arxiv",
    "version": 1
  }
}