Pith Number

pith:CJ45GKID

pith:2007:CJ45GKIDGLDE2MWGN4AFZRCVXA

not attested not anchored not stored refs pending

On the Linear Independence of Roots

Cormac O'Sullivan, Richard Carr

arxiv:math/0703522 v2 · 2007-03-19 · 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{CJ45GKIDGLDE2MWGN4AFZRCVXA}

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	2026-05-18T04:08:52.822964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1279d3290332c64d32c66f005cc455b8158f3d667f68dca3e51aff1826247e8b

Aliases

arxiv: math/0703522 · arxiv_version: math/0703522v2 · doi: 10.48550/arxiv.math/0703522 · pith_short_12: CJ45GKIDGLDE · pith_short_16: CJ45GKIDGLDE2MWG · pith_short_8: CJ45GKID

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/CJ45GKIDGLDE2MWGN4AFZRCVXA \
  | 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: 1279d3290332c64d32c66f005cc455b8158f3d667f68dca3e51aff1826247e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "211d77baee7fbc2d483f45ad2c1e805b75a98618a9793e58558b2a8f409a9b8d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-03-19T12:58:37Z",
    "title_canon_sha256": "2ceab4e2dded8793f43cef3da5cbcbf7991061e0e076859ff07c3bad5180a793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703522",
    "kind": "arxiv",
    "version": 2
  }
}