Pith Number

pith:7GQ7OBBB

pith:2014:7GQ7OBBBU4TETBEXDULRK7B52B

not attested not anchored not stored refs pending

On the square-free representation function of a norm form and nilsequences

Lilian Matthiesen

arxiv:1409.5028 v2 · 2014-09-17 · 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{7GQ7OBBBU4TETBEXDULRK7B52B}

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	2026-05-18T01:26:49.166022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a1f70421a7264984971d17157c3dd054c725db6d0a8093a7ab599cced7138c

Aliases

arxiv: 1409.5028 · arxiv_version: 1409.5028v2 · doi: 10.48550/arxiv.1409.5028 · pith_short_12: 7GQ7OBBBU4TE · pith_short_16: 7GQ7OBBBU4TETBEX · pith_short_8: 7GQ7OBBB

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/7GQ7OBBBU4TETBEXDULRK7B52B \
  | 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: f9a1f70421a7264984971d17157c3dd054c725db6d0a8093a7ab599cced7138c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041a12dac213e258e2065b6d02737bd8c622d09d3e52c3b676cac951a7b17016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-17T15:27:36Z",
    "title_canon_sha256": "0e31b7bf75911714e615d88bde8ed9a555b5a5b56e0e6ad03114b1f589440305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5028",
    "kind": "arxiv",
    "version": 2
  }
}