Pith Number

pith:VQXERMSS

pith:2004:VQXERMSS7IQFH66AH53EIAVJRI

not attested not anchored not stored refs pending

On Symplectic Coverings of the Projective Plane

G.-M. Greuel, Vik.S. Kulikov

arxiv:math/0411253 v1 · 2004-11-11 · math.SG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQXERMSS7IQFH66AH53EIAVJRI}

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	2026-05-18T01:38:27.033029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2e48b252fa2053fbc03f764402a98a0407a173806f19d3cb5bae1fad17a264

Aliases

arxiv: math/0411253 · arxiv_version: math/0411253v1 · doi: 10.48550/arxiv.math/0411253 · pith_short_12: VQXERMSS7IQF · pith_short_16: VQXERMSS7IQFH66A · pith_short_8: VQXERMSS

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/VQXERMSS7IQFH66AH53EIAVJRI \
  | 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: ac2e48b252fa2053fbc03f764402a98a0407a173806f19d3cb5bae1fad17a264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08927639a0b3d189b8431accc2e3895b766dc538b20261ec91a83eddf910f5a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2004-11-11T10:21:24Z",
    "title_canon_sha256": "fb1aa5e911b5ee09774b207eaf5f679341f2ded7f34af22f43cdf98cb2cd099c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411253",
    "kind": "arxiv",
    "version": 1
  }
}