Pith Number

pith:IVP2I7X6

pith:2014:IVP2I7X6CWJXMF2DMY6EXALTRL

not attested not anchored not stored refs pending

Critical Metrics for Riemannian Curvature Functionals

Jeff A. Viaclovsky

arxiv:1405.6080 v1 · 2014-05-23 · 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{IVP2I7X6CWJXMF2DMY6EXALTRL}

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	2026-05-18T02:51:14.115928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455fa47efe1593761743663c4b81738aeadc04ddefe6b5055b5f664473b64623

Aliases

arxiv: 1405.6080 · arxiv_version: 1405.6080v1 · doi: 10.48550/arxiv.1405.6080 · pith_short_12: IVP2I7X6CWJX · pith_short_16: IVP2I7X6CWJXMF2D · pith_short_8: IVP2I7X6

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/IVP2I7X6CWJXMF2DMY6EXALTRL \
  | 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: 455fa47efe1593761743663c4b81738aeadc04ddefe6b5055b5f664473b64623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a93669c977a2a19ce466c6de9816b4cd6e1089ca4f2c329a705d226dd170ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-23T14:42:34Z",
    "title_canon_sha256": "d504e9addec91d1e18d8a755f64c9047aff8244e428112caa63516e943ad2431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6080",
    "kind": "arxiv",
    "version": 1
  }
}