Pith Number

pith:WLTXSE4Q

pith:2016:WLTXSE4QOH6L5M7DX4ZTFJWULI

not attested not anchored not stored refs pending

The Value of the Kac Polynomial at One

Hans Franzen, Thorsten Weist

arxiv:1608.03419 v1 · 2016-08-11 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLTXSE4QOH6L5M7DX4ZTFJWULI}

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	2026-05-18T01:09:28.962230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e779139071fcbeb3e3bf3332a6d45a090d74061a1c521c6275d25bad4ee56b

Aliases

arxiv: 1608.03419 · arxiv_version: 1608.03419v1 · doi: 10.48550/arxiv.1608.03419 · pith_short_12: WLTXSE4QOH6L · pith_short_16: WLTXSE4QOH6L5M7D · pith_short_8: WLTXSE4Q

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/WLTXSE4QOH6L5M7DX4ZTFJWULI \
  | 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: b2e779139071fcbeb3e3bf3332a6d45a090d74061a1c521c6275d25bad4ee56b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067cd7ab1b54088cac3a3caea80a794df5d09a0bbcf9d8dab32255cb3061009c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-11T11:22:23Z",
    "title_canon_sha256": "f2d5fed3f345ed356472c963516d7dc5a686d5cb0e2187b094b01aba16335692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03419",
    "kind": "arxiv",
    "version": 1
  }
}