Pith Number

pith:Z6VLJFX7

pith:2012:Z6VLJFX7TG5YHQ24YIU52UQXYL

not attested not anchored not stored refs pending

Sharper Lower Bounds in the Maximum Degree and Diameter Bounded Subgraph Problem in the Mesh

Sachi Hashimoto

arxiv:1211.7128 v1 · 2012-11-30 · 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{Z6VLJFX7TG5YHQ24YIU52UQXYL}

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	2026-05-18T03:39:31.592211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfaab496ff99bb83c35cc229dd5217c2dbdd9ece5aab11d064701fac2ef9a822

Aliases

arxiv: 1211.7128 · arxiv_version: 1211.7128v1 · doi: 10.48550/arxiv.1211.7128 · pith_short_12: Z6VLJFX7TG5Y · pith_short_16: Z6VLJFX7TG5YHQ24 · pith_short_8: Z6VLJFX7

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/Z6VLJFX7TG5YHQ24YIU52UQXYL \
  | 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: cfaab496ff99bb83c35cc229dd5217c2dbdd9ece5aab11d064701fac2ef9a822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7d005dc8e8cc6404e669bb580e0f6212c067168d17862b1227bf2eb57b99cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-30T00:33:42Z",
    "title_canon_sha256": "26c6b1e2cd5e4fffb7335843de23803bc56018fac656ab5b99b0254baf2c3f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7128",
    "kind": "arxiv",
    "version": 1
  }
}