Pith Number

pith:7PNEUEPE

pith:2015:7PNEUEPE57E3VPBLWUKJI5XJIE

not attested not anchored not stored refs pending

The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds

Dimiter Vassilev, Stefan Ivanov

arxiv:1504.03259 v1 · 2015-04-13 · math.DG · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PNEUEPE57E3VPBLWUKJI5XJIE}

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	2026-05-18T02:18:58.773212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbda4a11e4efc9babc2bb5149476e9413b3794da1ad8fccf015a8035e8801421

Aliases

arxiv: 1504.03259 · arxiv_version: 1504.03259v1 · doi: 10.48550/arxiv.1504.03259 · pith_short_12: 7PNEUEPE57E3 · pith_short_16: 7PNEUEPE57E3VPBL · pith_short_8: 7PNEUEPE

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/7PNEUEPE57E3VPBLWUKJI5XJIE \
  | 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: fbda4a11e4efc9babc2bb5149476e9413b3794da1ad8fccf015a8035e8801421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc1207460db49227301c84c2bdbfa0eb78fc4a9d85bb984575163b91093d323",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-13T17:12:44Z",
    "title_canon_sha256": "6d22d060a0b08ec077c7bdf68ff9b19cce3ab5869788fc351f0b6476a474b275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03259",
    "kind": "arxiv",
    "version": 1
  }
}