Pith Number

pith:ZAQAZ6PK

pith:2011:ZAQAZ6PKPWQHYWGIQMRRBWQ2VJ

not attested not anchored not stored refs pending

Arithmetics of 2-friezes

Sophie Morier-Genoud

arxiv:1109.0917 v2 · 2011-09-05 · 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{ZAQAZ6PKPWQHYWGIQMRRBWQ2VJ}

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	2026-05-18T04:04:44.716382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8200cf9ea7da07c58c8832310da1aaa7f0f100bc1f24d6b27feddfd0bfb76de

Aliases

arxiv: 1109.0917 · arxiv_version: 1109.0917v2 · doi: 10.48550/arxiv.1109.0917 · pith_short_12: ZAQAZ6PKPWQH · pith_short_16: ZAQAZ6PKPWQHYWGI · pith_short_8: ZAQAZ6PK

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/ZAQAZ6PKPWQHYWGIQMRRBWQ2VJ \
  | 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: c8200cf9ea7da07c58c8832310da1aaa7f0f100bc1f24d6b27feddfd0bfb76de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76849c4a5c08036f5e645c75f0b592a148eac398364b4ddc0b9fac528808aa76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-05T14:39:35Z",
    "title_canon_sha256": "cbe6f51ae36e6e877841829ddcc9de3b3031f845fabda54fa7f068c78cffab83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0917",
    "kind": "arxiv",
    "version": 2
  }
}