Pith Number

pith:UE5LJFOF

pith:2014:UE5LJFOFL2HVPXDP3EPSH4LKCB

not attested not anchored not stored refs pending

Modular Macdonald functions and Generalized Newton's identity

Jian Zhang, Naihuan Jing, Tommy Wuxing Cai

arxiv:1401.5588 v4 · 2014-01-22 · math.QA · 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{UE5LJFOFL2HVPXDP3EPSH4LKCB}

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	2026-05-18T01:33:16.841204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13ab495c55e8f57dc6fd91f23f16a106bc89a3b55300d055c49fa9849e57387

Aliases

arxiv: 1401.5588 · arxiv_version: 1401.5588v4 · doi: 10.48550/arxiv.1401.5588 · pith_short_12: UE5LJFOFL2HV · pith_short_16: UE5LJFOFL2HVPXDP · pith_short_8: UE5LJFOF

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/UE5LJFOFL2HVPXDP3EPSH4LKCB \
  | 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: a13ab495c55e8f57dc6fd91f23f16a106bc89a3b55300d055c49fa9849e57387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c803fa037cada1026ad16655d60558b8b3cb6141ae7c17306bd08fcd5928119",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-01-22T08:48:35Z",
    "title_canon_sha256": "82b1fd67fff27bfacc0826072e3611ebfe23f2c9363773930cd0ad51ff0a12dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5588",
    "kind": "arxiv",
    "version": 4
  }
}