Pith Number

pith:RH6JUM4A

pith:2011:RH6JUM4AAABNQAMMCJEC4WF3CP

not attested not anchored not stored refs pending

Integrability of oscillatory functions on local fields: transfer principles

Immanuel Halupczok, Julia Gordon, Raf Cluckers

arxiv:1111.4405 v2 · 2011-11-18 · math.AG · math.LO · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RH6JUM4AAABNQAMMCJEC4WF3CP}

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	2026-05-18T02:29:32.678371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89fc9a33800002d8018c12482e58bb13e0d6acef164bf754263db2c38b756a4c

Aliases

arxiv: 1111.4405 · arxiv_version: 1111.4405v2 · doi: 10.48550/arxiv.1111.4405 · pith_short_12: RH6JUM4AAABN · pith_short_16: RH6JUM4AAABNQAMM · pith_short_8: RH6JUM4A

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/RH6JUM4AAABNQAMMCJEC4WF3CP \
  | 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: 89fc9a33800002d8018c12482e58bb13e0d6acef164bf754263db2c38b756a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89cf9ee71bdba0dbe71ada5050c124f35cdd9930f4e2854bf1fa4a418e85409b",
    "cross_cats_sorted": [
      "math.LO",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-18T16:08:16Z",
    "title_canon_sha256": "dbba5176fcc554fc1d98b36869c3ad59f885a6d800d7d716fa536bfe2a83004d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4405",
    "kind": "arxiv",
    "version": 2
  }
}