Pith Number

pith:R3ZZA4KC

pith:2025:R3ZZA4KC3VZOH3W56ZIX7FGDN6

not attested not anchored not stored refs pending

Proofs of Two Conjectural Identities on Partial Nahm Sums

Changsong Shi, Liuquan Wang

arxiv:2507.20270 v1 · 2025-07-27 · math.NT · 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{R3ZZA4KC3VZOH3W56ZIX7FGDN6}

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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.

Cited by

1 paper in Pith

On a pair of three-colored (mod 10) partition identities

Receipt and verification

First computed	2026-07-05T11:44:16.114403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef3907142dd72e3eeddf6517f94c36fa4cee31b9887dc4d67e116fcc7a84a47

Aliases

arxiv: 2507.20270 · arxiv_version: 2507.20270v1 · doi: 10.48550/arxiv.2507.20270 · pith_short_12: R3ZZA4KC3VZO · pith_short_16: R3ZZA4KC3VZOH3W5 · pith_short_8: R3ZZA4KC

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/R3ZZA4KC3VZOH3W56ZIX7FGDN6 \
  | 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: 8ef3907142dd72e3eeddf6517f94c36fa4cee31b9887dc4d67e116fcc7a84a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b8d14c2761db6a14304e5f298d8484f2342df5723352693493c4896adaf795",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-27T13:32:42Z",
    "title_canon_sha256": "b81b212c9fe767b56bf0601c7f319768657b1e8e55e734fd30d77f0b3939e590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20270",
    "kind": "arxiv",
    "version": 1
  }
}