Pith Number

pith:NYRKXAGH

pith:2013:NYRKXAGHXY4XEFWPKZML46TPSZ

not attested not anchored not stored refs pending

Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences

Harald Niederreiter, Peter Kritzer

arxiv:1312.5855 v1 · 2013-12-20 · 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{NYRKXAGHXY4XEFWPKZML46TPSZ}

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	2026-05-18T03:04:07.672791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e22ab80c7be397216cf5658be7a6f966981fa400781f429eb4ceadc7f761e06

Aliases

arxiv: 1312.5855 · arxiv_version: 1312.5855v1 · doi: 10.48550/arxiv.1312.5855 · pith_short_12: NYRKXAGHXY4X · pith_short_16: NYRKXAGHXY4XEFWP · pith_short_8: NYRKXAGH

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/NYRKXAGHXY4XEFWPKZML46TPSZ \
  | 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: 6e22ab80c7be397216cf5658be7a6f966981fa400781f429eb4ceadc7f761e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f9aee155c87f4b77030707af018a45562119c783a6ebc383ed846b1310cc28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-20T08:54:39Z",
    "title_canon_sha256": "377e071bb95757ca618617992453402a8d8e51118459c6eca1c34f6090b5959c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5855",
    "kind": "arxiv",
    "version": 1
  }
}