Pith Number

pith:6VVGW5SH

pith:2017:6VVGW5SHC7BG6H5AEDO2FUYQCF

not attested not anchored not stored refs pending

From partition identities to a combinatorial approach to explicit Satake inversion

Eunsung Lim, Heekyoung Hahn, Jaebum Sohn, JiSun Huh

arxiv:1706.03166 v1 · 2017-06-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VVGW5SHC7BG6H5AEDO2FUYQCF}

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	2026-05-18T00:42:38.309925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56a6b764717c26f1fa020dda2d31011439311230cc886a7c370327a8fa04fe5

Aliases

arxiv: 1706.03166 · arxiv_version: 1706.03166v1 · doi: 10.48550/arxiv.1706.03166 · pith_short_12: 6VVGW5SHC7BG · pith_short_16: 6VVGW5SHC7BG6H5A · pith_short_8: 6VVGW5SH

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/6VVGW5SHC7BG6H5AEDO2FUYQCF \
  | 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: f56a6b764717c26f1fa020dda2d31011439311230cc886a7c370327a8fa04fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f654c05130c32a3fd548a99761517d860ad29e5f5c29b8a11dde2cd4f34553ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-10T01:43:53Z",
    "title_canon_sha256": "6ef923623303b26e8d611c73aaba378921640df75648246df2f4810910307cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03166",
    "kind": "arxiv",
    "version": 1
  }
}