Pith Number

pith:HKFEAPQV

pith:2019:HKFEAPQVWT3ME4AOD3TOD57IZA

not attested not anchored not stored refs pending

The doubling Archimedean zeta integrals for p-adic interpolation

Zheng Liu

arxiv:1904.07121 v1 · 2019-04-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKFEAPQVWT3ME4AOD3TOD57IZA}

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.

Cited by

1 paper in Pith

Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation

Receipt and verification

First computed	2026-05-17T23:48:35.217187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8a403e15b4f6c2700e1ee6e1f7e8c82f10843893bd139e65adae6e89245cc5

Aliases

arxiv: 1904.07121 · arxiv_version: 1904.07121v1 · doi: 10.48550/arxiv.1904.07121 · pith_short_12: HKFEAPQVWT3M · pith_short_16: HKFEAPQVWT3ME4AO · pith_short_8: HKFEAPQV

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/HKFEAPQVWT3ME4AOD3TOD57IZA \
  | 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: 3a8a403e15b4f6c2700e1ee6e1f7e8c82f10843893bd139e65adae6e89245cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f87ca4b9f04d8499e4ca703aba370a8a4db8488d26cab57cce885fa93772fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-15T15:30:35Z",
    "title_canon_sha256": "73dda5df86579b8d59cede33703ee951aabd901409c5c8f415cb9ef3f5e54331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07121",
    "kind": "arxiv",
    "version": 1
  }
}