Pith Number

pith:QUFGV3GV

pith:2017:QUFGV3GVRSFASTATTHODM6SENM

not attested not anchored not stored refs pending

Lower bounds on the number of realizations of rigid graphs

Christoph Koutschan, Elias Tsigaridas, Georg Grasegger

arxiv:1710.08237 v2 · 2017-10-23 · math.CO · cs.CG · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUFGV3GVRSFASTATTHODM6SENM}

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	2026-05-18T00:18:46.117813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

850a6aecd58c8a094c1399dc367a446b12b78039f3e554f8a4e8b15e659202f8

Aliases

arxiv: 1710.08237 · arxiv_version: 1710.08237v2 · doi: 10.48550/arxiv.1710.08237 · pith_short_12: QUFGV3GVRSFA · pith_short_16: QUFGV3GVRSFASTAT · pith_short_8: QUFGV3GV

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/QUFGV3GVRSFASTATTHODM6SENM \
  | 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: 850a6aecd58c8a094c1399dc367a446b12b78039f3e554f8a4e8b15e659202f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24ff4205efe1c32070c6e81ca4afc27fb98c988c10a07f0ca48c97a8447acac",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-23T12:40:04Z",
    "title_canon_sha256": "2f8d34a02632cdb42182c3bde6b9f335de12ab3108a8bf8f8edb9a0a6e89780d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08237",
    "kind": "arxiv",
    "version": 2
  }
}