Pith Number

pith:UCBYAEVN

pith:2015:UCBYAEVN42LR2UEQ3WWEYOVHJS

not attested not anchored not stored refs pending

Spanning structures and universality in sparse hypergraphs

Olaf Parczyk, Yury Person

arxiv:1504.02243 v2 · 2015-04-09 · 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{UCBYAEVN42LR2UEQ3WWEYOVHJS}

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	2026-05-18T02:19:07.584885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0838012ade6971d5090ddac4c3aa74c8b3e442b8a8b41209615a28b54713779

Aliases

arxiv: 1504.02243 · arxiv_version: 1504.02243v2 · doi: 10.48550/arxiv.1504.02243 · pith_short_12: UCBYAEVN42LR · pith_short_16: UCBYAEVN42LR2UEQ · pith_short_8: UCBYAEVN

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/UCBYAEVN42LR2UEQ3WWEYOVHJS \
  | 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: a0838012ade6971d5090ddac4c3aa74c8b3e442b8a8b41209615a28b54713779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100592987b7dd019d329b2557620ad336926c5a9d95b2f3af743ed2a84d5e71b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-09T10:23:50Z",
    "title_canon_sha256": "c19145af08e679d7b62d4e3defd20eb8759e56864d210f4bce8f741ae5807ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02243",
    "kind": "arxiv",
    "version": 2
  }
}