Pith Number

pith:G5YF6B4F

pith:2017:G5YF6B4FE6PPW3ETZPGDJB6YM3

not attested not anchored not stored refs pending

On the harmonic M\"obius transformations

Mar\'ia J. Mart\'in, Rodrigo Hern\'andez

arxiv:1710.05952 v1 · 2017-10-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5YF6B4FE6PPW3ETZPGDJB6YM3}

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	2026-05-18T00:32:38.236796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37705f0785279efb6c93cbcc3487d866ddf3fc69273de049db9a550521b211a0

Aliases

arxiv: 1710.05952 · arxiv_version: 1710.05952v1 · doi: 10.48550/arxiv.1710.05952 · pith_short_12: G5YF6B4FE6PP · pith_short_16: G5YF6B4FE6PPW3ET · pith_short_8: G5YF6B4F

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/G5YF6B4FE6PPW3ETZPGDJB6YM3 \
  | 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: 37705f0785279efb6c93cbcc3487d866ddf3fc69273de049db9a550521b211a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "270d637cf231afa2822424f4613c1b5fb7b001c805dcc60d93659cc03c7d2775",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-10-16T18:33:32Z",
    "title_canon_sha256": "1658574c2b86ef9b6239d4f21f580bd854d873b63e1a2cb43292323ef2907dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05952",
    "kind": "arxiv",
    "version": 1
  }
}