Pith Number

pith:B4S5YYVG

pith:2016:B4S5YYVGG2X6IPRHY7JNEET6YH

not attested not anchored not stored refs pending

New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan

Alexandru Zaharescu, Arindam Roy, Atul Dixit, Bruce C. Berndt

arxiv:1608.03670 v1 · 2016-08-12 · 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{B4S5YYVGG2X6IPRHY7JNEET6YH}

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	2026-05-18T01:09:12.139820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f25dc62a636afe43e27c7d2d2127ec1cf8ca644741908e9f1ddda0d0656fc21

Aliases

arxiv: 1608.03670 · arxiv_version: 1608.03670v1 · doi: 10.48550/arxiv.1608.03670 · pith_short_12: B4S5YYVGG2X6 · pith_short_16: B4S5YYVGG2X6IPRH · pith_short_8: B4S5YYVG

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/B4S5YYVGG2X6IPRHY7JNEET6YH \
  | 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: 0f25dc62a636afe43e27c7d2d2127ec1cf8ca644741908e9f1ddda0d0656fc21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860ee000a6f727c95686c1b7b8da5bc425c2aaaa793c0e026b8122daab8c5ac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-12T04:13:14Z",
    "title_canon_sha256": "dd7de542c8f592922bf85853566c8093fe93cc53aacb5d59ec20a0a77814c4e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03670",
    "kind": "arxiv",
    "version": 1
  }
}