Pith Number

pith:DBUL25WX

pith:2017:DBUL25WXJH6XIKIRP4LRM4N5RU

not attested not anchored not stored refs pending

Periodic representations in algebraic bases

Tom\'a\v{s} V\'avra, V\'it\v{e}zslav Kala

arxiv:1709.04143 v1 · 2017-09-13 · 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{DBUL25WXJH6XIKIRP4LRM4N5RU}

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	2026-05-17T23:55:43.220412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1868bd76d749fd7429117f171671bd8d034aef64a3c1d885143216dd166be213

Aliases

arxiv: 1709.04143 · arxiv_version: 1709.04143v1 · doi: 10.48550/arxiv.1709.04143 · pith_short_12: DBUL25WXJH6X · pith_short_16: DBUL25WXJH6XIKIR · pith_short_8: DBUL25WX

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/DBUL25WXJH6XIKIRP4LRM4N5RU \
  | 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: 1868bd76d749fd7429117f171671bd8d034aef64a3c1d885143216dd166be213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "459b15538a8293ba669526803f5520aad54f6da0b493b162ab9780a0db5b831c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-13T05:36:29Z",
    "title_canon_sha256": "253e43787114ecfb488e2beba4c54c7eebeb8d51b29fb4c65c8f2593d7774162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04143",
    "kind": "arxiv",
    "version": 1
  }
}