Pith Number

pith:6AIOCO2N

pith:2007:6AIOCO2NAL5YQKBE3PVA5ZWM67

not attested not anchored not stored refs pending

Cusps of Hilbert modular varieties

D. B. McReynolds

arxiv:0706.3580 v1 · 2007-06-25 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AIOCO2NAL5YQKBE3PVA5ZWM67}

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	2026-05-18T02:16:29.903177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f010e13b4d02fb882824dbea0ee6ccf7c167ad2fb7ab21981853805f82296b7d

Aliases

arxiv: 0706.3580 · arxiv_version: 0706.3580v1 · doi: 10.48550/arxiv.0706.3580 · pith_short_12: 6AIOCO2NAL5Y · pith_short_16: 6AIOCO2NAL5YQKBE · pith_short_8: 6AIOCO2N

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/6AIOCO2NAL5YQKBE3PVA5ZWM67 \
  | 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: f010e13b4d02fb882824dbea0ee6ccf7c167ad2fb7ab21981853805f82296b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39a2366684647165b752c4baff78f99686edc7362dca29cfef68433a321fc98",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-06-25T16:21:33Z",
    "title_canon_sha256": "172249c3a0be3d474a1bc12af9f6f93b47d3c1afb1e99d96b6c9210f843e72b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3580",
    "kind": "arxiv",
    "version": 1
  }
}