Pith Number

pith:KRSX6D7Y

pith:2009:KRSX6D7YXITCC7343ZQIRMW42B

not attested not anchored not stored refs pending

Some Modifications of the Theorem of Beltrami

Steven Verpoort

arxiv:0912.4064 v1 · 2009-12-21 · 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{KRSX6D7YXITCC7343ZQIRMW42B}

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	2026-07-04T17:18:10.347107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54657f0ff8ba26217f7cde6088b2dcd068382da9b925f109478f382468b10d42

Aliases

arxiv: 0912.4064 · arxiv_version: 0912.4064v1 · doi: 10.48550/arxiv.0912.4064 · pith_short_12: KRSX6D7YXITC · pith_short_16: KRSX6D7YXITCC734 · pith_short_8: KRSX6D7Y

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/KRSX6D7YXITCC7343ZQIRMW42B \
  | 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: 54657f0ff8ba26217f7cde6088b2dcd068382da9b925f109478f382468b10d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3391d0a198dafbeb499af0bcb573da40ad386522b660b7c847d45480b8898a1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-21T00:03:19Z",
    "title_canon_sha256": "93efffde29f0269ef18dd2d05f93256f39be6f7c9112843a302dc870f06fdc80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4064",
    "kind": "arxiv",
    "version": 1
  }
}