Pith Number

pith:PAXQURNA

pith:2015:PAXQURNAZ46OAGVY6EOUPRF5HX

not attested not anchored not stored refs pending

On Mathematical Functions for Theoretical and Experimental Distributions for Shrutis (Micro Tonal Intervals) and Their Application in Hindustani Music

Vishal Midya

arxiv:1502.03679 v1 · 2015-02-06 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAXQURNAZ46OAGVY6EOUPRF5HX}

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	2026-05-18T02:27:17.066862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782f0a45a0cf3ce01ab8f11d47c4bd3dea6ca7748cefe4bf412c9c37d775c839

Aliases

arxiv: 1502.03679 · arxiv_version: 1502.03679v1 · doi: 10.48550/arxiv.1502.03679 · pith_short_12: PAXQURNAZ46O · pith_short_16: PAXQURNAZ46OAGVY · pith_short_8: PAXQURNA

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/PAXQURNAZ46OAGVY6EOUPRF5HX \
  | 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: 782f0a45a0cf3ce01ab8f11d47c4bd3dea6ca7748cefe4bf412c9c37d775c839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d059a9d3b2418d2900b7c425be3b6d0b9dc70feba8c1a757707c657eb57343",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-02-06T21:50:19Z",
    "title_canon_sha256": "88c4d036672b97c2f26bb1cb1fc756816841ce35473acfae1c4d92e556de1634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03679",
    "kind": "arxiv",
    "version": 1
  }
}