Pith Number

pith:WMNRD5BT

pith:2014:WMNRD5BTSNIZX2XENZCQXR6HUZ

not attested not anchored not stored refs pending

Bilateral symmetry and modified Pascal triangles in Parsimonious games

Flavio Pressacco (DIES), Giacomo Plazzotta, Laura Ziani (DIES)

arxiv:1402.5100 v1 · 2014-02-20 · 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{WMNRD5BTSNIZX2XENZCQXR6HUZ}

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	2026-05-18T02:58:31.199924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31b11f43393519beae46e450bc7c7a6717b11255582733ffe2a87580182b573

Aliases

arxiv: 1402.5100 · arxiv_version: 1402.5100v1 · doi: 10.48550/arxiv.1402.5100 · pith_short_12: WMNRD5BTSNIZ · pith_short_16: WMNRD5BTSNIZX2XE · pith_short_8: WMNRD5BT

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/WMNRD5BTSNIZX2XENZCQXR6HUZ \
  | 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: b31b11f43393519beae46e450bc7c7a6717b11255582733ffe2a87580182b573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1c4ff0727a7d8c09fc36d13aecf7a739446441a92c31c48ac2eef2668b0cc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-20T18:59:47Z",
    "title_canon_sha256": "788492f4c84c02a96598a062753d601748a0ef24dda91ea2219172bf3577a6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5100",
    "kind": "arxiv",
    "version": 1
  }
}