Pith Number

pith:5HRWMN75

pith:2015:5HRWMN75WQHOC37YMXNMASMUWZ

not attested not anchored not stored refs pending

Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero

Immanuel Halupczok, Raf Cluckers

arxiv:1510.08250 v2 · 2015-10-28 · math.LO · math.AG · 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{5HRWMN75WQHOC37YMXNMASMUWZ}

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	2026-05-18T00:48:54.872171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e36637fdb40ee16ff865dac04994b658b4b293ffa355d3dd556a0b7957bd53

Aliases

arxiv: 1510.08250 · arxiv_version: 1510.08250v2 · doi: 10.48550/arxiv.1510.08250 · pith_short_12: 5HRWMN75WQHO · pith_short_16: 5HRWMN75WQHOC37Y · pith_short_8: 5HRWMN75

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/5HRWMN75WQHOC37YMXNMASMUWZ \
  | 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: e9e36637fdb40ee16ff865dac04994b658b4b293ffa355d3dd556a0b7957bd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff75d7b3492469d7d273d357999cf1f628f24eaa8198b64b81e778c749c7509c",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-28T10:27:02Z",
    "title_canon_sha256": "3628b7ae602986bfd7f5b950063e7b752e4f572ab6fc4a13809347b742b40028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08250",
    "kind": "arxiv",
    "version": 2
  }
}