Pith Number

pith:26YN4RF3

pith:2015:26YN4RF32KLRKPOVHP74PUPRCK

not attested not anchored not stored refs pending

Universal Rigidity of Bar Frameworks via the Geometry of Spectrahedra

A. Y. Alfakih

arxiv:1504.00578 v1 · 2015-04-02 · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26YN4RF32KLRKPOVHP74PUPRCK}

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	2026-05-18T02:19:43.067096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7b0de44bbd297153dd53bffc7d1f112a083f39389670e3c08795525ff6ef996

Aliases

arxiv: 1504.00578 · arxiv_version: 1504.00578v1 · doi: 10.48550/arxiv.1504.00578 · pith_short_12: 26YN4RF32KLR · pith_short_16: 26YN4RF32KLRKPOV · pith_short_8: 26YN4RF3

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/26YN4RF32KLRKPOVHP74PUPRCK \
  | 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: d7b0de44bbd297153dd53bffc7d1f112a083f39389670e3c08795525ff6ef996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739ab9afaf358261d065db9da880deddc42eb363e20e9bf2f07d0646c4e2c9d8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-04-02T14:51:33Z",
    "title_canon_sha256": "239e57537e10ee19462af78355fa0cd5633fd93a16de6c879e68330c981815da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00578",
    "kind": "arxiv",
    "version": 1
  }
}