Pith Number

pith:SZ5W4RBX

pith:2025:SZ5W4RBXWJCNQVPFCCPHTAAGGB

not attested not anchored not stored refs pending

Cohomology rings of character varieties

Anton Mellit

arxiv:2507.12454 v1 · 2025-07-16 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZ5W4RBXWJCNQVPFCCPHTAAGGB}

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	2026-07-05T11:38:20.506271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967b6e4437b244d855e5109e798006306cf1d1e9124e942563b1e9a96da29395

Aliases

arxiv: 2507.12454 · arxiv_version: 2507.12454v1 · doi: 10.48550/arxiv.2507.12454 · pith_short_12: SZ5W4RBXWJCN · pith_short_16: SZ5W4RBXWJCNQVPF · pith_short_8: SZ5W4RBX

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/SZ5W4RBXWJCNQVPFCCPHTAAGGB \
  | 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: 967b6e4437b244d855e5109e798006306cf1d1e9124e942563b1e9a96da29395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8e83eafa0710762cc29f0d337267d79cc8674fe1c2225ed2a75ab3fe00f251",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-16T17:54:45Z",
    "title_canon_sha256": "d1c078520e379cd4ef61e0aa6e700e01f30ebe8a96737e1bd11c31a2e6fb6b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12454",
    "kind": "arxiv",
    "version": 1
  }
}