Pith Number

pith:I2YPPWAP

pith:2022:I2YPPWAPMSPDYGA7NNES3AXQNL

not attested not anchored not stored refs pending

Hyper-Mahler measures via Goncharov-Deligne cyclotomy

Yajun Zhou

arxiv:2210.17243 v4 · 2022-10-31 · math.NT · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2YPPWAPMSPDYGA7NNES3AXQNL}

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	2026-07-05T10:56:31.003533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b0f7d80f649e3c181f6b492d82f06af965b9923791107df0ce50ad53730f33

Aliases

arxiv: 2210.17243 · arxiv_version: 2210.17243v4 · doi: 10.48550/arxiv.2210.17243 · pith_short_12: I2YPPWAPMSPD · pith_short_16: I2YPPWAPMSPDYGA7 · pith_short_8: I2YPPWAP

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/I2YPPWAPMSPDYGA7NNES3AXQNL \
  | 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: 46b0f7d80f649e3c181f6b492d82f06af965b9923791107df0ce50ad53730f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9771f43a697e7a00de0086620ef665cd53c012be0e2adf9f20932204bc4f6871",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-31T12:02:51Z",
    "title_canon_sha256": "39240c581e1c26e19e1e45613cabf4f11d0d0ceed2121c61d7bc8b045a8eaec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.17243",
    "kind": "arxiv",
    "version": 4
  }
}