Pith Number

pith:5IFT23WF

pith:2014:5IFT23WFW4UHUWAFABGNGPZKRD

not attested not anchored not stored refs pending

On multiplicatively independent bases in cyclotomic number fields

Manfred G. Madritsch, Volker Ziegler

arxiv:1408.3991 v1 · 2014-08-18 · 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{5IFT23WFW4UHUWAFABGNGPZKRD}

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	2026-05-18T02:44:57.469061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0b3d6ec5b7287a5805004cd33f2a88d3567afd4c4baea9741924a34c5f252c

Aliases

arxiv: 1408.3991 · arxiv_version: 1408.3991v1 · doi: 10.48550/arxiv.1408.3991 · pith_short_12: 5IFT23WFW4UH · pith_short_16: 5IFT23WFW4UHUWAF · pith_short_8: 5IFT23WF

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/5IFT23WFW4UHUWAFABGNGPZKRD \
  | 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: ea0b3d6ec5b7287a5805004cd33f2a88d3567afd4c4baea9741924a34c5f252c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9580662161c9339e4a2370be2b9d5df670c55b703e89b73c185a9a4839b86ed3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-18T12:16:53Z",
    "title_canon_sha256": "d6acac198a3ed406b0d24ac2f86e7ba38144bcd5bb6d215b7aeae6bc0d02a09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3991",
    "kind": "arxiv",
    "version": 1
  }
}