Pith Number

pith:4E3Z5BXV

pith:2026:4E3Z5BXV4KEZRCLDJOOZU7IWVL

not attested not anchored not stored refs pending

On the elementary theory of the real exponential field

Alessandro Berarducci, Francesco Gallinaro

arxiv:2603.08365 v2 · 2026-03-09 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4E3Z5BXV4KEZRCLDJOOZU7IWVL}

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	2026-06-24T01:15:01.668897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1379e86f5e2899889634b9d9a7d16aad598998bf53c50ea35c586d9072a742c

Aliases

arxiv: 2603.08365 · arxiv_version: 2603.08365v2 · doi: 10.48550/arxiv.2603.08365 · pith_short_12: 4E3Z5BXV4KEZ · pith_short_16: 4E3Z5BXV4KEZRCLD · pith_short_8: 4E3Z5BXV

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/4E3Z5BXV4KEZRCLDJOOZU7IWVL \
  | 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: e1379e86f5e2899889634b9d9a7d16aad598998bf53c50ea35c586d9072a742c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea43e0e80d8d7c73ebd6d388a352700011c6bded560fe409b93760f289f91dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-03-09T13:28:11Z",
    "title_canon_sha256": "74150867d32475f27de10d055efab8119c34759a11312417d1445d3a696c2abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08365",
    "kind": "arxiv",
    "version": 2
  }
}