Pith Number

pith:SZZFZITY

pith:2012:SZZFZITYUUP37LQRKSJBXKCYOF

not attested not anchored not stored refs pending

Nullspaces of Conformally Invariant Operators. Applications to $Q_{k}$-curvature

A. Rod Gover, Dmitry Jakobson, Rapha\"el Ponge, Yaiza Canzani

arxiv:1206.0517 v1 · 2012-06-04 · 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{SZZFZITYUUP37LQRKSJBXKCYOF}

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	2026-05-18T03:54:17.448033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96725ca278a51fbfae1154921ba85871729a22fdd4a8f4348d0453bf58554cd2

Aliases

arxiv: 1206.0517 · arxiv_version: 1206.0517v1 · doi: 10.48550/arxiv.1206.0517 · pith_short_12: SZZFZITYUUP3 · pith_short_16: SZZFZITYUUP37LQR · pith_short_8: SZZFZITY

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/SZZFZITYUUP37LQRKSJBXKCYOF \
  | 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: 96725ca278a51fbfae1154921ba85871729a22fdd4a8f4348d0453bf58554cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc131346a25cdeeebf429fd0b2c34e11ae6537ccfdd9548ef189f0a871c8359",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-04T04:36:26Z",
    "title_canon_sha256": "a42b4d1c7eff52bca9a9431de74fc6846346eba9b16e87fbebbba51aa94827a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0517",
    "kind": "arxiv",
    "version": 1
  }
}