Pith Number

pith:XOG3DUIW

pith:2010:XOG3DUIW5756DT6TRWPJ64XCIV

not attested not anchored not stored refs pending

Toward the Universal Rigidity of General Frameworks

Abdo Y. Alfakih, Nicole Taheri, Yinyu Ye

arxiv:1009.1185 v2 · 2010-09-07 · 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{XOG3DUIW5756DT6TRWPJ64XCIV}

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	2026-05-18T04:31:59.924926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb8db1d116effbe1cfd38d9e9f72e24573a977c1b8f0d87526795e396ea65f2f

Aliases

arxiv: 1009.1185 · arxiv_version: 1009.1185v2 · doi: 10.48550/arxiv.1009.1185 · pith_short_12: XOG3DUIW5756 · pith_short_16: XOG3DUIW5756DT6T · pith_short_8: XOG3DUIW

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/XOG3DUIW5756DT6TRWPJ64XCIV \
  | 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: bb8db1d116effbe1cfd38d9e9f72e24573a977c1b8f0d87526795e396ea65f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e40d4fd9a9abb23ae2ce3630bd392e3d67f89983cebc292fcb723b6a88f38d",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-09-07T01:41:20Z",
    "title_canon_sha256": "e7e317a350497061e47d4004ac9aedf3b9ffc3f17551db72bd698ce3bf127f99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1185",
    "kind": "arxiv",
    "version": 2
  }
}