Pith Number

pith:7YTMYP2T

pith:2025:7YTMYP2TXZMCW4EXHX6FD5CT5A

not attested not anchored not stored refs pending

Hilbert Series for Configuration Spaces of Punctured Surfaces

Eric Ramos, Yifeng Huang

arxiv:2507.09746 v1 · 2025-07-13 · math.AG · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YTMYP2TXZMCW4EXHX6FD5CT5A}

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	2026-07-05T11:36:39.097668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe26cc3f53be582b70973dfc51f453e81f6ad6b5626e37560574f1fe6db52eb1

Aliases

arxiv: 2507.09746 · arxiv_version: 2507.09746v1 · doi: 10.48550/arxiv.2507.09746 · pith_short_12: 7YTMYP2TXZMC · pith_short_16: 7YTMYP2TXZMCW4EX · pith_short_8: 7YTMYP2T

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/7YTMYP2TXZMCW4EXHX6FD5CT5A \
  | 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: fe26cc3f53be582b70973dfc51f453e81f6ad6b5626e37560574f1fe6db52eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93cf300d1e216071aea6ffb8bfd19a0885cec6c0167636468a3e53f47006902e",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-13T18:56:06Z",
    "title_canon_sha256": "f2efc3c24a7e009268cbd090373476e08e884c8e725d9ac77436cfd817db7d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09746",
    "kind": "arxiv",
    "version": 1
  }
}