Pith Number

pith:VTHTQDVQ

pith:2011:VTHTQDVQTYHQTYWVN57DX2BKW3

not attested not anchored not stored refs pending

Drawing cubic graphs with the four basic slopes

D\"om\"ot\"or P\'alv\"olgyi, Padmini Mukkamala

arxiv:1106.1973 v2 · 2011-06-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTHTQDVQTYHQTYWVN57DX2BKW3}

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	2026-05-18T04:19:54.361359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

accf380eb09e0f09e2d56f7e3be82ab6e288023b13f83c60809d8661440bcadd

Aliases

arxiv: 1106.1973 · arxiv_version: 1106.1973v2 · doi: 10.48550/arxiv.1106.1973 · pith_short_12: VTHTQDVQTYHQ · pith_short_16: VTHTQDVQTYHQTYWV · pith_short_8: VTHTQDVQ

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/VTHTQDVQTYHQTYWVN57DX2BKW3 \
  | 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: accf380eb09e0f09e2d56f7e3be82ab6e288023b13f83c60809d8661440bcadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6442f1d7b5f83c7c37d58b29565474469f87452db46e3168033532fdf0d2d93",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-10T07:46:53Z",
    "title_canon_sha256": "a8c1f4defa65af6ce124f7904fcc11a26922978033876ba858db39eafe378455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1973",
    "kind": "arxiv",
    "version": 2
  }
}