Pith Number

pith:ECSU2TWZ

pith:2015:ECSU2TWZTXJ4WWI3IGGG5MKDKS

not attested not anchored not stored refs pending

Hyperbolic Pascal pyramid

L\'aszl\'o N\'emeth

arxiv:1511.02067 v2 · 2015-11-06 · math.CO · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECSU2TWZTXJ4WWI3IGGG5MKDKS}

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	2026-05-18T00:48:37.535506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a54d4ed99dd3cb591b418c6eb14354aad9d497661c79f8c6d1a2f0f78c36fe

Aliases

arxiv: 1511.02067 · arxiv_version: 1511.02067v2 · doi: 10.48550/arxiv.1511.02067 · pith_short_12: ECSU2TWZTXJ4 · pith_short_16: ECSU2TWZTXJ4WWI3 · pith_short_8: ECSU2TWZ

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/ECSU2TWZTXJ4WWI3IGGG5MKDKS \
  | 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: 20a54d4ed99dd3cb591b418c6eb14354aad9d497661c79f8c6d1a2f0f78c36fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffe7c091584393a202f1c0747c45c3cdd2f009b346be41d1863d0356aa4c4bf",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-06T13:20:42Z",
    "title_canon_sha256": "6ff2f1ce2ad8ab87b8583eb85a7cc077656fe7af7e8fa6cad726fd9f920ed26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02067",
    "kind": "arxiv",
    "version": 2
  }
}