Pith Number

pith:5U4RU2TO

pith:2012:5U4RU2TODQS7U2VGAHFPQUMQKP

not attested not anchored not stored refs pending

An upper bound on Euclidean embeddings of rigid graphs with 8 vertices

Ioannis Z. Emiris, Stylianos C. Despotakis

arxiv:1204.6527 v2 · 2012-04-29 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5U4RU2TODQS7U2VGAHFPQUMQKP}

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	2026-05-18T02:39:32.408157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed391a6a6e1c25fa6aa601caf8519053d99d008aa403030d55079e3ae57559c6

Aliases

arxiv: 1204.6527 · arxiv_version: 1204.6527v2 · doi: 10.48550/arxiv.1204.6527 · pith_short_12: 5U4RU2TODQS7 · pith_short_16: 5U4RU2TODQS7U2VG · pith_short_8: 5U4RU2TO

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/5U4RU2TODQS7U2VGAHFPQUMQKP \
  | 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: ed391a6a6e1c25fa6aa601caf8519053d99d008aa403030d55079e3ae57559c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84dce89006edfaad390ea6659353f856e1230da8bbbd919ce0ef7897ef47fa47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-04-29T23:04:49Z",
    "title_canon_sha256": "29d0e2f8bf83a1b72fd91b096855cae5c2239fe2c4c87822659c20c07b29b48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6527",
    "kind": "arxiv",
    "version": 2
  }
}