Pith Number

pith:IZ7ZTZJD

pith:2015:IZ7ZTZJD5UST76MDSU2UTQSF2S

not attested not anchored not stored refs pending

Extremal metrics for the $Q^\prime$-curvature in three dimensions

Chin-Yu Hsiao, Jeffrey S. Case, Paul Yang

arxiv:1511.05013 v1 · 2015-11-16 · math.DG · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZ7ZTZJD5UST76MDSU2UTQSF2S}

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	2026-05-18T01:26:51.024096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467f99e523ed253ff983953549c245d48e90441ea9514020b1bf3ec4c5af1bc0

Aliases

arxiv: 1511.05013 · arxiv_version: 1511.05013v1 · doi: 10.48550/arxiv.1511.05013 · pith_short_12: IZ7ZTZJD5UST · pith_short_16: IZ7ZTZJD5UST76MD · pith_short_8: IZ7ZTZJD

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/IZ7ZTZJD5UST76MDSU2UTQSF2S \
  | 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: 467f99e523ed253ff983953549c245d48e90441ea9514020b1bf3ec4c5af1bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2b1d2c90186411423d104c7d47f6a916d102e3c1e5ee8810271ec94ab7d18bf",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-16T16:10:57Z",
    "title_canon_sha256": "b0429a86b96d4bf95f4f3fd1cdc5fca77c50f071649cff73fdf5bfbbc459a6c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05013",
    "kind": "arxiv",
    "version": 1
  }
}