Pith Number

pith:XCHJL37I

pith:2025:XCHJL37IBA3EPO3H7IRBTDTQMC

not attested not anchored not stored refs pending

Transcendence degrees of fields generated by exponentials of products

Heinrich Massold

arxiv:2506.01123 v1 · 2025-06-01 · 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{XCHJL37IBA3EPO3H7IRBTDTQMC}

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	2026-07-05T11:13:46.909431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b88e95efe8083647bb67fa22198e7060b4a0ceb2cc5e038f54824f71bfea0df6

Aliases

arxiv: 2506.01123 · arxiv_version: 2506.01123v1 · doi: 10.48550/arxiv.2506.01123 · pith_short_12: XCHJL37IBA3E · pith_short_16: XCHJL37IBA3EPO3H · pith_short_8: XCHJL37I

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/XCHJL37IBA3EPO3H7IRBTDTQMC \
  | 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: b88e95efe8083647bb67fa22198e7060b4a0ceb2cc5e038f54824f71bfea0df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330cab54a6692fad2d083634bdc2842da3513cc6feb0b61c4920d1f79ad990ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-01T19:00:18Z",
    "title_canon_sha256": "f90b20cefe09518c2e911081901598a5b06f2105e59c93ae264781cfc7d0fee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01123",
    "kind": "arxiv",
    "version": 1
  }
}