Pith Number

pith:53I2VCPI

pith:2013:53I2VCPI4IS4YLR5B6LNS72FPR

not attested not anchored not stored refs pending

The Moebius function and continuous extensions of rotations

Joanna Ku{\l}aga-Przymus, Mariusz Lema\'nczyk

arxiv:1310.2546 v2 · 2013-10-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53I2VCPI4IS4YLR5B6LNS72FPR}

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	2026-05-18T02:45:55.896524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed1aa89e8e225cc2e3d0f96d97f457c6812f5b9ccc1ddfed47f8fbe17099c5e

Aliases

arxiv: 1310.2546 · arxiv_version: 1310.2546v2 · doi: 10.48550/arxiv.1310.2546 · pith_short_12: 53I2VCPI4IS4 · pith_short_16: 53I2VCPI4IS4YLR5 · pith_short_8: 53I2VCPI

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/53I2VCPI4IS4YLR5B6LNS72FPR \
  | 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: eed1aa89e8e225cc2e3d0f96d97f457c6812f5b9ccc1ddfed47f8fbe17099c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1039af22711391bfe786e5e0cafb07fd735ffe32fad31cf109749ff208c4db3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-09T17:06:29Z",
    "title_canon_sha256": "d0f96ad72081283bfb669d0e63e31a07342e790aaed578ca6600bf638a7b264e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2546",
    "kind": "arxiv",
    "version": 2
  }
}