Pith Number

pith:QW3S4DRJ

pith:2014:QW3S4DRJ6U6MSNWXJC5MTMQUTP

not attested not anchored not stored refs pending

Graph connectivity and universal rigidity of bar frameworks

A. Y. Alfakih

arxiv:1407.2199 v2 · 2014-07-08 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QW3S4DRJ6U6MSNWXJC5MTMQUTP}

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	2026-05-18T02:45:12.032093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b72e0e29f53cc936d748bac9b2149bd13719fd4e4a332180dbca7ff90e8046

Aliases

arxiv: 1407.2199 · arxiv_version: 1407.2199v2 · doi: 10.48550/arxiv.1407.2199 · pith_short_12: QW3S4DRJ6U6M · pith_short_16: QW3S4DRJ6U6MSNWX · pith_short_8: QW3S4DRJ

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/QW3S4DRJ6U6MSNWXJC5MTMQUTP \
  | 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: 85b72e0e29f53cc936d748bac9b2149bd13719fd4e4a332180dbca7ff90e8046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fe033e6ba306caeda3ecce1601b7bd9d66adbf2b4c5accd1479a30406a65b8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-07-08T18:34:55Z",
    "title_canon_sha256": "b9b190297e445f2e35b03b54029316dfec22b003b89e3f25e125c5cda4c5109c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2199",
    "kind": "arxiv",
    "version": 2
  }
}