Pith Number

pith:HRGKCUWK

pith:2012:HRGKCUWKGYIWYJRL3BAMMAIJQ4

not attested not anchored not stored refs pending

A generalization of Newton's identity and Macdonald functions

Naihuan Jing, Wuxing Cai

arxiv:1210.1621 v1 · 2012-10-05 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRGKCUWKGYIWYJRL3BAMMAIJQ4}

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	2026-05-18T02:53:54.127886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4ca152ca36116c262bd840c60109872999d9eae7a9fd6ba5a7110a6829ec7f

Aliases

arxiv: 1210.1621 · arxiv_version: 1210.1621v1 · doi: 10.48550/arxiv.1210.1621 · pith_short_12: HRGKCUWKGYIW · pith_short_16: HRGKCUWKGYIWYJRL · pith_short_8: HRGKCUWK

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/HRGKCUWKGYIWYJRL3BAMMAIJQ4 \
  | 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: 3c4ca152ca36116c262bd840c60109872999d9eae7a9fd6ba5a7110a6829ec7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "640431a50fcb2b3f416ed5e8eb56accfb110edc2bf89b756a1ccb141b264a99a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-05T01:31:37Z",
    "title_canon_sha256": "d201d6376c9e7dba253b8704cb1770f5bfcd081c7c67b03d4c1877f803968b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1621",
    "kind": "arxiv",
    "version": 1
  }
}