Pith Number

pith:IUJY67Y4

pith:2011:IUJY67Y44V6XUJTZ7GBMXWKXML

not attested not anchored not stored refs pending

Measure theory in the geometry of $GL(n,\mathbb Z) \ltimes \mathbb Z^{n}$

Daniele Mundici

arxiv:1102.0897 v1 · 2011-02-04 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUJY67Y44V6XUJTZ7GBMXWKXML}

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	2026-05-18T04:30:03.431460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45138f7f1ce57d7a2679f982cbd95762fa8591edf7f25b607dc94508e3237bb7

Aliases

arxiv: 1102.0897 · arxiv_version: 1102.0897v1 · doi: 10.48550/arxiv.1102.0897 · pith_short_12: IUJY67Y44V6X · pith_short_16: IUJY67Y44V6XUJTZ · pith_short_8: IUJY67Y4

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/IUJY67Y44V6XUJTZ7GBMXWKXML \
  | 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: 45138f7f1ce57d7a2679f982cbd95762fa8591edf7f25b607dc94508e3237bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c391f544d4c481b55b5ea6ca228a590bb040306553689ccf8d1ebff1f7548d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-02-04T12:51:55Z",
    "title_canon_sha256": "c35cdd3669377e855e5422d29765ead7e20b5c47aa452ddce2a4bb53e055c8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0897",
    "kind": "arxiv",
    "version": 1
  }
}