Pith Number

pith:XH4UQCZX

pith:2002:XH4UQCZXMFS774VX55OZOMZGLS

not attested not anchored not stored refs pending

G\'eom\'etrie des groupes oscillateurs et vari\'et\'es localement sym\'etriques

Alberto Medina, Shirley Bromberg

arxiv:math/0204019 v1 · 2002-04-01 · 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{XH4UQCZXMFS774VX55OZOMZGLS}

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	2026-07-04T14:36:00.563343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f9480b376165fff2b7ef5d9733265c8faeab3c7f3757fb979bfc42a9e64ed9

Aliases

arxiv: math/0204019 · arxiv_version: math/0204019v1 · doi: 10.48550/arxiv.math/0204019 · pith_short_12: XH4UQCZXMFS7 · pith_short_16: XH4UQCZXMFS774VX · pith_short_8: XH4UQCZX

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/XH4UQCZXMFS774VX55OZOMZGLS \
  | 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: b9f9480b376165fff2b7ef5d9733265c8faeab3c7f3757fb979bfc42a9e64ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36e6c51fd2c871d6bb626c03a69adb94bbbad68e6db9a24c16bfd88f692c829",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-04-01T17:28:48Z",
    "title_canon_sha256": "55741263b36f8ce6301b4e3df671bee9f0372afaef6723b13f372bb99971d842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204019",
    "kind": "arxiv",
    "version": 1
  }
}