Pith Number

pith:5JBEC4SW

pith:2014:5JBEC4SWAZ62WXTSAPLGRDUXHG

not attested not anchored not stored refs pending

Non-commutative q-expansions

Mahesh Kakde

arxiv:1411.2729 v1 · 2014-11-11 · 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{5JBEC4SWAZ62WXTSAPLGRDUXHG}

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	2026-05-18T02:37:53.221325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea42417256067dab5e7203d6688e973989c3b4a536cbe2054bbc6924b158874d

Aliases

arxiv: 1411.2729 · arxiv_version: 1411.2729v1 · doi: 10.48550/arxiv.1411.2729 · pith_short_12: 5JBEC4SWAZ62 · pith_short_16: 5JBEC4SWAZ62WXTS · pith_short_8: 5JBEC4SW

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/5JBEC4SWAZ62WXTSAPLGRDUXHG \
  | 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: ea42417256067dab5e7203d6688e973989c3b4a536cbe2054bbc6924b158874d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "182d61486ab378a6f701765d84c05eefb725a54233812fd77f949734058861b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-11T08:58:26Z",
    "title_canon_sha256": "9e7baa34abea0bcb2e8154538c024c083f7592ec1e6ae7b8e27cbe77c6b09af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2729",
    "kind": "arxiv",
    "version": 1
  }
}