Pith Number

pith:MA7H57TK

pith:1997:MA7H57TKAQOV4VZ2EB6M4VM5Z5

not attested not anchored not stored refs pending

Notes on affine isometric actions of discrete groups

Yurii A. Neretin

arxiv:dg-ga/9712009 v1 · 1997-12-20 · dg-ga · 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{MA7H57TKAQOV4VZ2EB6M4VM5Z5}

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	2026-05-18T03:36:27.427425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603e7efe6a041d5e573a207cce559dcf4587c56d002238a50ef0167e3fab40c5

Aliases

arxiv: dg-ga/9712009 · arxiv_version: dg-ga/9712009v1 · doi: 10.48550/arxiv.dg-ga/9712009 · pith_short_12: MA7H57TKAQOV · pith_short_16: MA7H57TKAQOV4VZ2 · pith_short_8: MA7H57TK

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/MA7H57TKAQOV4VZ2EB6M4VM5Z5 \
  | 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: 603e7efe6a041d5e573a207cce559dcf4587c56d002238a50ef0167e3fab40c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29fd7af5f68f1769d39d0f285bd0f15252cc2a6d74b9572dc55c4f9bd584d7cc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1997-12-20T12:55:16Z",
    "title_canon_sha256": "d837f9227ccb0c41a89b8cc7531dd94c22bc4e1f2019970304ed4e4aab6b1136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9712009",
    "kind": "arxiv",
    "version": 1
  }
}