Pith Number

pith:VANJ7ISU

pith:2004:VANJ7ISUDAPFTPKTNW7UVUL373

not attested not anchored not stored refs pending

Central extensions of groups of symplectomorphisms

Yurii A. Neretin

arxiv:math/0406213 v3 · 2004-06-10 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VANJ7ISUDAPFTPKTNW7UVUL373}

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	2026-05-18T03:34:14.427985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81a9fa254181e59bd536dbf4ad17bfee2143e829c2ef535ebcb58cd637d363d

Aliases

arxiv: math/0406213 · arxiv_version: math/0406213v3 · doi: 10.48550/arxiv.math/0406213 · pith_short_12: VANJ7ISUDAPF · pith_short_16: VANJ7ISUDAPFTPKT · pith_short_8: VANJ7ISU

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/VANJ7ISUDAPFTPKTNW7UVUL373 \
  | 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: a81a9fa254181e59bd536dbf4ad17bfee2143e829c2ef535ebcb58cd637d363d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08559179b375380d170672c8a779d09313124be35ee205b7acd1a5a6eb7a2387",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2004-06-10T12:52:22Z",
    "title_canon_sha256": "2fa71447bc3d1c5d2daa22f6c578511d31be5f7599c390e93ae2d07c49449cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406213",
    "kind": "arxiv",
    "version": 3
  }
}