Pith Number

pith:URHMDPK6

pith:2010:URHMDPK6WW2YWYN3GPHC3LF42H

not attested not anchored not stored refs pending

The Realizable Extension Problem and the Weighted Graph $(K_{3,3},l)$

Jonathan McLaughlin

arxiv:1009.5626 v1 · 2010-09-28 · math.AG · 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{URHMDPK6WW2YWYN3GPHC3LF42H}

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	2026-05-18T04:40:09.742271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a44ec1bd5eb5b58b61bb33ce2dacbcd1db4b76322306a48c6966df8f75a45ede

Aliases

arxiv: 1009.5626 · arxiv_version: 1009.5626v1 · doi: 10.48550/arxiv.1009.5626 · pith_short_12: URHMDPK6WW2Y · pith_short_16: URHMDPK6WW2YWYN3 · pith_short_8: URHMDPK6

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/URHMDPK6WW2YWYN3GPHC3LF42H \
  | 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: a44ec1bd5eb5b58b61bb33ce2dacbcd1db4b76322306a48c6966df8f75a45ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3fb165ff49f812c9bf32f5f162077830ad682c6019f3ec79ae319309d687273",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-28T16:31:02Z",
    "title_canon_sha256": "63bc6b60ee69be01d9b9dd8b4972131b3a3d2a5d12f447a8db9a9490e4f2530d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5626",
    "kind": "arxiv",
    "version": 1
  }
}