Pith Number

pith:S32Y4PEQ

pith:2018:S32Y4PEQOFNYENGJWSD5Z6LXBP

not attested not anchored not stored refs pending

Sprague-Grundy Function of Symmetric Hypergraphs

Endre Boros, Kazuhisa Makino, Nhan Bao Ho, Peter Mursic, Vladimir Gurvich

arxiv:1804.01859 v1 · 2018-04-01 · 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{S32Y4PEQOFNYENGJWSD5Z6LXBP}

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	2026-05-18T00:19:09.704039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f58e3c90715b8234c9b487dcf9770bdddc24c0b38295e377fdc438ac1394a0

Aliases

arxiv: 1804.01859 · arxiv_version: 1804.01859v1 · doi: 10.48550/arxiv.1804.01859 · pith_short_12: S32Y4PEQOFNY · pith_short_16: S32Y4PEQOFNYENGJ · pith_short_8: S32Y4PEQ

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/S32Y4PEQOFNYENGJWSD5Z6LXBP \
  | 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: 96f58e3c90715b8234c9b487dcf9770bdddc24c0b38295e377fdc438ac1394a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d2aac451be37f3594df977bcff4263c9bbc21296cc8ccc17b7e44d5f45c765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-01T02:30:05Z",
    "title_canon_sha256": "feced65315e2bc571cf6dc9d784fc82229df7120063f997592a7ea193243ab45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01859",
    "kind": "arxiv",
    "version": 1
  }
}