Pith Number

pith:AKVAN64L

pith:2017:AKVAN64L5NTVTFRL5OSOE36WSM

not attested not anchored not stored refs pending

Spectral expansions of random sections of homogeneous vector bundles

Anatoliy Malyarenko

arxiv:1706.06477 v2 · 2017-06-19 · math.PR · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKVAN64L5NTVTFRL5OSOE36WSM}

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	2026-05-18T00:16:56.371475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02aa06fb8beb6759962beba4e26fd69301c9079622826421a9a1f01bfa38b6f1

Aliases

arxiv: 1706.06477 · arxiv_version: 1706.06477v2 · doi: 10.48550/arxiv.1706.06477 · pith_short_12: AKVAN64L5NTV · pith_short_16: AKVAN64L5NTVTFRL · pith_short_8: AKVAN64L

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/AKVAN64L5NTVTFRL5OSOE36WSM \
  | 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: 02aa06fb8beb6759962beba4e26fd69301c9079622826421a9a1f01bfa38b6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b03a37b7ce5a7046fa5849a92cdf42a384664fe2a96d08d6b78fc8f047d06b0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-19T10:22:46Z",
    "title_canon_sha256": "0d6af0f32dbbc311abbe6ae72dfb4ba017087a513d0703fb8a6b8fd65aaafb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06477",
    "kind": "arxiv",
    "version": 2
  }
}