pith. sign in
Pith Number

pith:XN7JGGTY

pith:2014:XN7JGGTYZSBIDN5PJS3C6B4PBU
not attested not anchored not stored refs pending

On bodies with directly congruent projections and sections

Dmitry Ryabogin, M. Angeles Alfonseca, Michelle Cordier

arxiv:1412.2727 v2 · 2014-12-08 · math.MG · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XN7JGGTYZSBIDN5PJS3C6B4PBU}

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 2026-05-18T01:31:46.056401Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bb7e931a78cc8281b7af4cb62f078f0d1e88343e3d1c998cf06e942b0b8099af

Aliases

arxiv: 1412.2727 · arxiv_version: 1412.2727v2 · doi: 10.48550/arxiv.1412.2727 · pith_short_12: XN7JGGTYZSBI · pith_short_16: XN7JGGTYZSBIDN5P · pith_short_8: XN7JGGTY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XN7JGGTYZSBIDN5PJS3C6B4PBU \
  | 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: bb7e931a78cc8281b7af4cb62f078f0d1e88343e3d1c998cf06e942b0b8099af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "726deb10cffec57a01827de0d72902f61b0b3b363eb416ce2170f19f3b5167ff",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-08T20:33:21Z",
    "title_canon_sha256": "cac5afac59fdc4bdf5ccb4c9aaa32103e48f941b7200b1529e2a524a71ae580b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2727",
    "kind": "arxiv",
    "version": 2
  }
}