Pith Number

pith:QZKWT3SR

pith:2016:QZKWT3SRFE5SJG27VRHTVDYBOQ

not attested not anchored not stored refs pending

Alexander $r$-tuples and Bier complexes

Du\v{s}ko Joji\'c, Gaiane Panina, Ilya Nekrasov, Rade \v{Z}ivaljevi\'c

arxiv:1607.07157 v2 · 2016-07-25 · 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{QZKWT3SRFE5SJG27VRHTVDYBOQ}

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	2026-05-18T00:46:31.838491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865569ee51293b249b5fac4f3a8f01740852a052250278ff2ff648f0a248be6a

Aliases

arxiv: 1607.07157 · arxiv_version: 1607.07157v2 · doi: 10.48550/arxiv.1607.07157 · pith_short_12: QZKWT3SRFE5S · pith_short_16: QZKWT3SRFE5SJG27 · pith_short_8: QZKWT3SR

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/QZKWT3SRFE5SJG27VRHTVDYBOQ \
  | 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: 865569ee51293b249b5fac4f3a8f01740852a052250278ff2ff648f0a248be6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d52ea9e706cca36bad145905f923541ed4b3731795fcf5c3fc34f0e8ee724f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-25T05:49:19Z",
    "title_canon_sha256": "0f9add37074b6ed4b2697a83675ecc48c79124fe71cbcad5d0dadcec2201f014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07157",
    "kind": "arxiv",
    "version": 2
  }
}