Pith Number

pith:2XXP2BG4

pith:2012:2XXP2BG4QVJKY4OOB4YUGJHRLZ

not attested not anchored not stored refs pending

The module of unitarily invariant area measures

Thomas Wannerer

arxiv:1207.6481 v2 · 2012-07-27 · 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{2XXP2BG4QVJKY4OOB4YUGJHRLZ}

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	2026-05-18T03:18:31.727760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5eefd04dc8552ac71ce0f314324f15e496a0f1fae459ee8fc08a238231ebcd3

Aliases

arxiv: 1207.6481 · arxiv_version: 1207.6481v2 · doi: 10.48550/arxiv.1207.6481 · pith_short_12: 2XXP2BG4QVJK · pith_short_16: 2XXP2BG4QVJKY4OO · pith_short_8: 2XXP2BG4

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/2XXP2BG4QVJKY4OOB4YUGJHRLZ \
  | 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: d5eefd04dc8552ac71ce0f314324f15e496a0f1fae459ee8fc08a238231ebcd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d196e03eb428d16f39210a0325af5dbe792dcd9899215b895756d9e69a1b8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-27T08:09:09Z",
    "title_canon_sha256": "9ad32d8467c06f1d40b27b12db9f30452553905387b9a9e95341ed51db5f7909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6481",
    "kind": "arxiv",
    "version": 2
  }
}