Pith Number

pith:GHDJPLVD

pith:2017:GHDJPLVDDRCGHAS7ZLS7UPC65L

not attested not anchored not stored refs pending

On the mathematics of beauty: beautiful music

A. M. Khalili

arxiv:1707.06510 v4 · 2017-07-14 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHDJPLVDDRCGHAS7ZLS7UPC65L}

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	2026-07-05T04:01:39.079465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c697aea31c4463825fcae5fa3c5eeaccc72d8781fa8f835232690273069951

Aliases

arxiv: 1707.06510 · arxiv_version: 1707.06510v4 · doi: 10.48550/arxiv.1707.06510 · pith_short_12: GHDJPLVDDRCG · pith_short_16: GHDJPLVDDRCGHAS7 · pith_short_8: GHDJPLVD

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/GHDJPLVDDRCGHAS7ZLS7UPC65L \
  | 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: 31c697aea31c4463825fcae5fa3c5eeaccc72d8781fa8f835232690273069951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaccfd5749a9aeb9785a801f74268de3c41544b9bd18f5fe2a06f59ae819787b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-14T22:38:05Z",
    "title_canon_sha256": "43e427d04fa961069db4096ba6b16406a2d89ae6eed2a7194e96b0c68326db0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06510",
    "kind": "arxiv",
    "version": 4
  }
}