Pith Number

pith:X2ONZPEY

pith:2006:X2ONZPEY6DQ56QD72JOSP6LDQE

not attested not anchored not stored refs pending

Small Covers over Prisms

Mingzhong Cai, Xin Chen, Zhi L\"u

arxiv:math/0606438 v4 · 2006-06-19 · math.DG · 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{X2ONZPEY6DQ56QD72JOSP6LDQE}

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	2026-07-04T15:02:02.638928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9cdcbc98f0e1df407fd25d27f9638110db884184baa04bfd2dece49fb364c3

Aliases

arxiv: math/0606438 · arxiv_version: math/0606438v4 · doi: 10.48550/arxiv.math/0606438 · pith_short_12: X2ONZPEY6DQ5 · pith_short_16: X2ONZPEY6DQ56QD7 · pith_short_8: X2ONZPEY

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/X2ONZPEY6DQ56QD72JOSP6LDQE \
  | 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: be9cdcbc98f0e1df407fd25d27f9638110db884184baa04bfd2dece49fb364c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1dc96aa32d51abdd11365fdbe3b47042224ee041ded6f60798b401ee289741e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-06-19T09:12:01Z",
    "title_canon_sha256": "bc43df0f041f22177b9635601b4a38c3f1d847ccb78688344f2c9a7073a345e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606438",
    "kind": "arxiv",
    "version": 4
  }
}