Pith Number

pith:3A4DSPZN

pith:2020:3A4DSPZN6QSRR5QK6324MX57ZN

not attested not anchored not stored refs pending

A topological approach to undefinability in algebraic extensions of $\mathbb{Q}$

Caleb Springer, Kirsten Eisentraeger, Linda Westrick, Russell Miller

arxiv:2010.09551 v2 · 2020-10-19 · math.NT · 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{3A4DSPZN6QSRR5QK6324MX57ZN}

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	2026-07-05T07:05:37.922739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d838393f2df42518f60af6f5c65fbfcb58de8465d1aa857bcaf8581c5ee32cf5

Aliases

arxiv: 2010.09551 · arxiv_version: 2010.09551v2 · doi: 10.48550/arxiv.2010.09551 · pith_short_12: 3A4DSPZN6QSR · pith_short_16: 3A4DSPZN6QSRR5QK · pith_short_8: 3A4DSPZN

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/3A4DSPZN6QSRR5QK6324MX57ZN \
  | 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: d838393f2df42518f60af6f5c65fbfcb58de8465d1aa857bcaf8581c5ee32cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041c3437e5e475ab1fe30e468123d6a4da1b84414bd171efb209356dc1d680d4",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-10-19T14:28:19Z",
    "title_canon_sha256": "ba45b1d2ae104d1c7fbad126dfbc9360a12fac6aff3345b7a976f9e8d50d1a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09551",
    "kind": "arxiv",
    "version": 2
  }
}