Pith Number

pith:4T3BDCEQ

pith:2014:4T3BDCEQLOIGA75E3WF3BVMT3L

not attested not anchored not stored refs pending

Transfer principles for Bounds of motivic exponential functions

Immanuel Halupczok, Julia Gordon, Raf Cluckers

arxiv:1412.4573 v1 · 2014-12-15 · 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{4T3BDCEQLOIGA75E3WF3BVMT3L}

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	2026-05-18T02:31:18.783391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f61188905b90607fa4dd8bb0d593dac0b34cc870fdebedfb0608463ac7bd5a

Aliases

arxiv: 1412.4573 · arxiv_version: 1412.4573v1 · doi: 10.48550/arxiv.1412.4573 · pith_short_12: 4T3BDCEQLOIG · pith_short_16: 4T3BDCEQLOIGA75E · pith_short_8: 4T3BDCEQ

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/4T3BDCEQLOIGA75E3WF3BVMT3L \
  | 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: e4f61188905b90607fa4dd8bb0d593dac0b34cc870fdebedfb0608463ac7bd5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e762a1cb937bfa32714f30610bbb6cc320f1727bbb6142a5337e4d87f09ddc1",
    "cross_cats_sorted": [
      "math.LO",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-15T13:08:39Z",
    "title_canon_sha256": "e2a729faab42dba1c5d5380493e0bf434761d15d89044673f2f769b14a5f8077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4573",
    "kind": "arxiv",
    "version": 1
  }
}