Pith Number

pith:TY4S5CQX

pith:2013:TY4S5CQXFCVBIODJBQS3OYYJJL

not attested not anchored not stored refs pending

On Two Infinite Families of Pairing Bijections

Paul Tarau

arxiv:1301.0129 v1 · 2013-01-01 · cs.MS · cs.DM · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY4S5CQXFCVBIODJBQS3OYYJJL}

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	2026-05-18T03:37:28.120519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e392e8a1728aa1438690c25b763094acd624b74e8d9e121f7c5950e8faf117e

Aliases

arxiv: 1301.0129 · arxiv_version: 1301.0129v1 · doi: 10.48550/arxiv.1301.0129 · pith_short_12: TY4S5CQXFCVB · pith_short_16: TY4S5CQXFCVBIODJ · pith_short_8: TY4S5CQX

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/TY4S5CQXFCVBIODJBQS3OYYJJL \
  | 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: 9e392e8a1728aa1438690c25b763094acd624b74e8d9e121f7c5950e8faf117e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810f21cd9a84dc20c978ed638eb1eb1e65c78b9a67b38a50c3647e820c34c7d4",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2013-01-01T20:10:51Z",
    "title_canon_sha256": "7ec96599c00f0514d6b61bc8905bd8b618e289c6321dca0fe50fc8de45a1d376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0129",
    "kind": "arxiv",
    "version": 1
  }
}