Pith Number

pith:XSZBGHIX

pith:2011:XSZBGHIXDOE2N2CVRO2ABKSDXQ

not attested not anchored not stored refs pending

Algebraic Independence and Mahler's method

Evgeniy Zorin

arxiv:1103.3984 v1 · 2011-03-21 · 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{XSZBGHIXDOE2N2CVRO2ABKSDXQ}

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	2026-05-18T04:14:18.020405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb2131d171b89a6e8558bb400aa43bc21037bdc66c9785d8402a361bdaf6b2f

Aliases

arxiv: 1103.3984 · arxiv_version: 1103.3984v1 · doi: 10.48550/arxiv.1103.3984 · pith_short_12: XSZBGHIXDOE2 · pith_short_16: XSZBGHIXDOE2N2CV · pith_short_8: XSZBGHIX

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/XSZBGHIXDOE2N2CVRO2ABKSDXQ \
  | 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: bcb2131d171b89a6e8558bb400aa43bc21037bdc66c9785d8402a361bdaf6b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f91a238727516b8ed8f2d0e02fe77911a7ee9cff8d516924c6d177b25a0a91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-21T11:45:52Z",
    "title_canon_sha256": "884a36d46f10640252e835fae4b7100f3979cd5592329ce83b75574442e2ff56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3984",
    "kind": "arxiv",
    "version": 1
  }
}