Pith Number

pith:NMCXHDCW

pith:2016:NMCXHDCWXE52O2TE2OPVIVJAVV

not attested not anchored not stored refs pending

A note on short cycles in a hypercube

Maria Axenovich, Ryan R. Martin

arxiv:1605.06572 v2 · 2016-05-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMCXHDCWXE52O2TE2OPVIVJAVV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:13:46.761415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b05738c56b93ba76a64d39f545520ad47a25f97767d64c8d17cd329fac28634

Aliases

arxiv: 1605.06572 · arxiv_version: 1605.06572v2 · doi: 10.48550/arxiv.1605.06572 · pith_short_12: NMCXHDCWXE52 · pith_short_16: NMCXHDCWXE52O2TE · pith_short_8: NMCXHDCW

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/NMCXHDCWXE52O2TE2OPVIVJAVV \
  | 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: 6b05738c56b93ba76a64d39f545520ad47a25f97767d64c8d17cd329fac28634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48be271a7d9352ca25ad76e58f38c84561cb6b16fb7e5a6e9ceec95f3ff9693d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-21T02:14:11Z",
    "title_canon_sha256": "7ac7e536338c7a50d51e660d5161d50494a11066b75a923c950d0846c33090cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06572",
    "kind": "arxiv",
    "version": 2
  }
}