Pith Number

pith:D4TR5Z4O

pith:2016:D4TR5Z4ODN62RHCTJOUSYYFXR2

not attested not anchored not stored refs pending

Proof of a Limited Version of Mao's Partition Rank Inequality using a Theta Function Identity

Archit Pal Singh Sachdeva, Rupam Barman

arxiv:1605.06037 v1 · 2016-05-19 · 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{D4TR5Z4ODN62RHCTJOUSYYFXR2}

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	2026-05-18T01:14:26.701304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f271ee78e1b7da89c534ba92c60b78ea877b6f5441fd0a0e2149d54831446fa

Aliases

arxiv: 1605.06037 · arxiv_version: 1605.06037v1 · doi: 10.48550/arxiv.1605.06037 · pith_short_12: D4TR5Z4ODN62 · pith_short_16: D4TR5Z4ODN62RHCT · pith_short_8: D4TR5Z4O

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/D4TR5Z4ODN62RHCTJOUSYYFXR2 \
  | 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: 1f271ee78e1b7da89c534ba92c60b78ea877b6f5441fd0a0e2149d54831446fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9183efc4f911a5a42e43c6aac519f1d3953adf5c1a4af050b5db9141361d522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-19T16:26:11Z",
    "title_canon_sha256": "6d3c04c2b24f3e1ae5fb2cf1da0b41b9886975f2ecf5c8dcf2f70b6bd5dff5aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06037",
    "kind": "arxiv",
    "version": 1
  }
}