Pith Number

pith:HPVTQKRE

pith:2012:HPVTQKREQ2RZC3J2GPA7B7EH4I

not attested not anchored not stored refs pending

Universal rigidity of bar frameworks in general position: a Euclidean distance matrix approach

A. Y. Alfakih

arxiv:1201.3013 v1 · 2012-01-14 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPVTQKREQ2RZC3J2GPA7B7EH4I}

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	2026-05-18T04:04:32.496353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3beb382a2486a3916d3a33c1f0fc87e205ea7b4f02e5acd5d20854c1c496f450

Aliases

arxiv: 1201.3013 · arxiv_version: 1201.3013v1 · doi: 10.48550/arxiv.1201.3013 · pith_short_12: HPVTQKREQ2RZ · pith_short_16: HPVTQKREQ2RZC3J2 · pith_short_8: HPVTQKRE

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/HPVTQKREQ2RZC3J2GPA7B7EH4I \
  | 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: 3beb382a2486a3916d3a33c1f0fc87e205ea7b4f02e5acd5d20854c1c496f450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58f25bfe318123a1c6a3febbf992ad18cad5cf7590266fbd4386167f45052a0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-01-14T13:59:06Z",
    "title_canon_sha256": "8b6d349a3fd30419f84160df3d63bacbd55bf5631b39e232faebd75efe3c5c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3013",
    "kind": "arxiv",
    "version": 1
  }
}