Pith Number

pith:3S7FLI4T

pith:2020:3S7FLI4TJMLH7WDGVYFT2RK4KX

not attested not anchored not stored refs pending

Several new product identities in relation to two-variable Rogers-Ramanujan type sums and mock theta functions

Alexandru Pascadi

arxiv:2009.05878 v2 · 2020-09-12 · 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{3S7FLI4TJMLH7WDGVYFT2RK4KX}

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	2026-07-05T08:08:45.391290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbe55a3934b167fd866ae0b3d455c55f1e6e9b4d367a72b5a9042405039c06e

Aliases

arxiv: 2009.05878 · arxiv_version: 2009.05878v2 · doi: 10.48550/arxiv.2009.05878 · pith_short_12: 3S7FLI4TJMLH · pith_short_16: 3S7FLI4TJMLH7WDG · pith_short_8: 3S7FLI4T

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/3S7FLI4TJMLH7WDGVYFT2RK4KX \
  | 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: dcbe55a3934b167fd866ae0b3d455c55f1e6e9b4d367a72b5a9042405039c06e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "930ef038b16fd5ff0b76ee2a18b466fa2ee9d557a235bff94f80317efcaecd66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-12T23:11:45Z",
    "title_canon_sha256": "cf6d6ce9704cbcd3f0d8a0245bb885c22f61554e102711f52382726ea5fc55c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05878",
    "kind": "arxiv",
    "version": 2
  }
}