Pith Number

pith:R4MWF2EC

pith:2013:R4MWF2ECBFBMRM44LSNB4IT43R

not attested not anchored not stored refs pending

Liouville Numbers and Schanuel's Conjecture

K. Senthil Kumar, M. Waldschmidt, R. Thangadurai

arxiv:1312.7154 v1 · 2013-12-26 · 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{R4MWF2ECBFBMRM44LSNB4IT43R}

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	2026-05-18T03:03:45.662042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1962e8820942c8b39c5c9a1e227cdc7fcd8b5fa53eec53e1b79ab8f006d183

Aliases

arxiv: 1312.7154 · arxiv_version: 1312.7154v1 · doi: 10.48550/arxiv.1312.7154 · pith_short_12: R4MWF2ECBFBM · pith_short_16: R4MWF2ECBFBMRM44 · pith_short_8: R4MWF2EC

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/R4MWF2ECBFBMRM44LSNB4IT43R \
  | 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: 8f1962e8820942c8b39c5c9a1e227cdc7fcd8b5fa53eec53e1b79ab8f006d183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b27c41bd5cccefe0f7b228c6d1d5c2230b4ccdbb482b834cfd7ae1335c9521",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-26T22:06:17Z",
    "title_canon_sha256": "08379378ccafe104e365f63e0bb141cdd0776f9702eb3f2514393255ca3ecf53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7154",
    "kind": "arxiv",
    "version": 1
  }
}