Pith Number

pith:7DMF4XS6

pith:2018:7DMF4XS6PJCXJS6NGLVZ5F3R23

not attested not anchored not stored refs pending

Inequalities for the overpartition function

Edward Y.S. Liu, Helen W.J. Zhang

arxiv:1808.05091 v2 · 2018-08-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DMF4XS6PJCXJS6NGLVZ5F3R23}

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	2026-05-18T00:07:57.844828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d85e5e5e7a4574cbcd32eb9e9771d6f375fd55e21d37821f8b965e8b32bcf7

Aliases

arxiv: 1808.05091 · arxiv_version: 1808.05091v2 · doi: 10.48550/arxiv.1808.05091 · pith_short_12: 7DMF4XS6PJCX · pith_short_16: 7DMF4XS6PJCXJS6N · pith_short_8: 7DMF4XS6

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/7DMF4XS6PJCXJS6NGLVZ5F3R23 \
  | 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: f8d85e5e5e7a4574cbcd32eb9e9771d6f375fd55e21d37821f8b965e8b32bcf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da58196d3b8c4905871b922b50ff79e98d3e9574b405c2e7428f6d977af784ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-15T14:16:44Z",
    "title_canon_sha256": "33251ec8444fc3e3c4a3a6286b11f27801ac716dd58f6dc0d08ebf0cd4470c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05091",
    "kind": "arxiv",
    "version": 2
  }
}