Pith Number

pith:6XXNK2IY

pith:2017:6XXNK2IY2E3ZWZVPJESFDU5VEU

not attested not anchored not stored refs pending

The $P^\prime$-operator, the $Q^\prime$-curvature, and the CR tractor calculus

A. Rod Gover, Jeffrey S. Case

arxiv:1709.08057 v1 · 2017-09-23 · math.DG · 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{6XXNK2IY2E3ZWZVPJESFDU5VEU}

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	2026-05-18T00:34:28.113784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5eed56918d1379b66af492451d3b5250b80b537277ca87251e90863c0b5ac57

Aliases

arxiv: 1709.08057 · arxiv_version: 1709.08057v1 · doi: 10.48550/arxiv.1709.08057 · pith_short_12: 6XXNK2IY2E3Z · pith_short_16: 6XXNK2IY2E3ZWZVP · pith_short_8: 6XXNK2IY

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/6XXNK2IY2E3ZWZVPJESFDU5VEU \
  | 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: f5eed56918d1379b66af492451d3b5250b80b537277ca87251e90863c0b5ac57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3922ded8198dd97d024f15cf17e9390cf3d23bdc49ee2890a24db276cfa6175",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-23T14:22:11Z",
    "title_canon_sha256": "380c920cc30c28af5154c70eb38676e246323dbf8c1cb1b125dbc792d8177553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08057",
    "kind": "arxiv",
    "version": 1
  }
}