Pith Number

pith:HV2EYICT

pith:2013:HV2EYICT2JEKBC2Y4ON7SYBJNC

not attested not anchored not stored refs pending

The q-Analog of the Middle Levels Problem

Tuvi Etzion

arxiv:1303.7110 v4 · 2013-03-28 · 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{HV2EYICT2JEKBC2Y4ON7SYBJNC}

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	2026-05-18T02:56:35.370946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d744c2053d248a08b58e39bf96029688e0f07c27a8f22ad917c78fafa55842c

Aliases

arxiv: 1303.7110 · arxiv_version: 1303.7110v4 · doi: 10.48550/arxiv.1303.7110 · pith_short_12: HV2EYICT2JEK · pith_short_16: HV2EYICT2JEKBC2Y · pith_short_8: HV2EYICT

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/HV2EYICT2JEKBC2Y4ON7SYBJNC \
  | 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: 3d744c2053d248a08b58e39bf96029688e0f07c27a8f22ad917c78fafa55842c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804ffce2d44670f406683d15c6a769c34db42ab851f5f5051f3bcbf6d8311ac2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-28T12:21:24Z",
    "title_canon_sha256": "2dd7df3f44d7052b908a32901f3ae496221550a6d7a326bd4460be5200bf79e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7110",
    "kind": "arxiv",
    "version": 4
  }
}