Pith Number

pith:XMBATRAK

pith:2016:XMBATRAK7GYSFS2SRFG6QLDMXY

not attested not anchored not stored refs pending

Continuous $\times p,\times q$-invariant measures on the unit circle

Huichi Huang

arxiv:1607.02644 v1 · 2016-07-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMBATRAK7GYSFS2SRFG6QLDMXY}

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	2026-05-18T01:11:16.533468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0209c40af9b122cb52894de82c6cbe3c255aeacc63fd118a356120c2845f32

Aliases

arxiv: 1607.02644 · arxiv_version: 1607.02644v1 · doi: 10.48550/arxiv.1607.02644 · pith_short_12: XMBATRAK7GYS · pith_short_16: XMBATRAK7GYSFS2S · pith_short_8: XMBATRAK

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/XMBATRAK7GYSFS2SRFG6QLDMXY \
  | 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: bb0209c40af9b122cb52894de82c6cbe3c255aeacc63fd118a356120c2845f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a79d2417572df3d1b719ab0aa0b5f5ac2d2d810a886f73ac02a99cd49b8ed90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-09T18:26:14Z",
    "title_canon_sha256": "5e1b260a671a58a2b96c88dd8643e8163416cfee0cae3389def69ee742e43e7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02644",
    "kind": "arxiv",
    "version": 1
  }
}