Pith Number

pith:ZMQAGPAC

pith:2024:ZMQAGPACHUTBHFJ5KICSEHFRGY

not attested not anchored not stored refs pending

Explicit formulas for mixed Hodge polynomials of character varieties of nilpotent groups

Rahul Singh, Ruoxi Li

arxiv:2410.10008 v2 · 2024-10-13 · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMQAGPACHUTBHFJ5KICSEHFRGY}

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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

$e$-polynomials of character varieties

Receipt and verification

First computed	2026-07-05T09:32:48.666837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb20033c023d2613953d5205221cb13604035e0b165206ea9b30b1981ac02733

Aliases

arxiv: 2410.10008 · arxiv_version: 2410.10008v2 · doi: 10.48550/arxiv.2410.10008 · pith_short_12: ZMQAGPACHUTB · pith_short_16: ZMQAGPACHUTBHFJ5 · pith_short_8: ZMQAGPAC

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/ZMQAGPACHUTBHFJ5KICSEHFRGY \
  | 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: cb20033c023d2613953d5205221cb13604035e0b165206ea9b30b1981ac02733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcbc4207157ee9df167bc0586863af51923b747d00ae358631be9b3e377fb869",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-10-13T21:00:32Z",
    "title_canon_sha256": "3050448fc8675507c35f4e71b020b41c613e6d72b5528dea961bdb49de3e7ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.10008",
    "kind": "arxiv",
    "version": 2
  }
}