Pith Number

pith:RTFP6GDP

pith:2024:RTFP6GDPR3TP3Y3KD2F576TKNK

not attested not anchored not stored refs pending

The spherical Hall algebra of $\overline{\operatorname{Spec}(\mathcal{O}_K)}$

Benjamin Li, Luis Modes

arxiv:2411.17055 v1 · 2024-11-26 · math.NT · 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{RTFP6GDPR3TP3Y3KD2F576TKNK}

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	2026-07-05T09:40:26.816988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ccaff186f8ee6fde36a1e8bdffa6a6ab8fb2089e2f1f29abf2d01f536bb7ebf

Aliases

arxiv: 2411.17055 · arxiv_version: 2411.17055v1 · doi: 10.48550/arxiv.2411.17055 · pith_short_12: RTFP6GDPR3TP · pith_short_16: RTFP6GDPR3TP3Y3K · pith_short_8: RTFP6GDP

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/RTFP6GDPR3TP3Y3KD2F576TKNK \
  | 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: 8ccaff186f8ee6fde36a1e8bdffa6a6ab8fb2089e2f1f29abf2d01f536bb7ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db738d1c9fe66946558f6962118702eb036fecd4919d6e828068a3e310b4a8b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-26T02:52:19Z",
    "title_canon_sha256": "9653d94570a59a322dd15be3e6c4710d218e11ad27fc50664e7f13f2d6d9a653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17055",
    "kind": "arxiv",
    "version": 1
  }
}