Pith Number

pith:MZSB5PYB

pith:2015:MZSB5PYBXPU6XZO5EFRUZOCIDF

not attested not anchored not stored refs pending

On the Bandwidth of the Kneser Graph

Derrek Yager, Tao Jiang, Zevi Miller

arxiv:1512.06937 v1 · 2015-12-22 · 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{MZSB5PYBXPU6XZO5EFRUZOCIDF}

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	2026-05-18T01:23:53.418903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66641ebf01bbe9ebe5dd21634cb848194c02fd4c1294dbac218990aa185c0587

Aliases

arxiv: 1512.06937 · arxiv_version: 1512.06937v1 · doi: 10.48550/arxiv.1512.06937 · pith_short_12: MZSB5PYBXPU6 · pith_short_16: MZSB5PYBXPU6XZO5 · pith_short_8: MZSB5PYB

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/MZSB5PYBXPU6XZO5EFRUZOCIDF \
  | 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: 66641ebf01bbe9ebe5dd21634cb848194c02fd4c1294dbac218990aa185c0587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62781f8692747992965aa265ad423b6170f526cd08a309fb1dca791d23d5ef82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-22T02:58:24Z",
    "title_canon_sha256": "6860b4e1e63f16f03a0a987ca5ab1101cd8984a70f86142054a0e9b2722cb099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06937",
    "kind": "arxiv",
    "version": 1
  }
}