Pith Number

pith:NMJSTOIU

pith:2018:NMJSTOIUN5BQWLQ3A53GJZUQCX

not attested not anchored not stored refs pending

Linear Independence of Harmonic Numbers over the field of Algebraic Numbers

Sonika Dhillon, Tapas Chatterjee

arxiv:1810.09763 v1 · 2018-10-23 · 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{NMJSTOIUN5BQWLQ3A53GJZUQCX}

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	2026-05-18T00:02:29.445675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b1329b9146f430b2e1b077664e69015dbccf856d651eb203660f00a5797964c

Aliases

arxiv: 1810.09763 · arxiv_version: 1810.09763v1 · doi: 10.48550/arxiv.1810.09763 · pith_short_12: NMJSTOIUN5BQ · pith_short_16: NMJSTOIUN5BQWLQ3 · pith_short_8: NMJSTOIU

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/NMJSTOIUN5BQWLQ3A53GJZUQCX \
  | 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: 6b1329b9146f430b2e1b077664e69015dbccf856d651eb203660f00a5797964c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1654ec35ac826a7c66a02a76d290646239cd96f24c70767af62a781db8387acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-23T10:39:42Z",
    "title_canon_sha256": "2d92eb1a8860e709753e1100af6d6aadeeef7ffc5d73b85776ed6f03d9dcffb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09763",
    "kind": "arxiv",
    "version": 1
  }
}