Pith Number

pith:BC3BJREC

pith:2018:BC3BJRECJSBGNNTZXEJRDEF3ZF

not attested not anchored not stored refs pending

Note on the truncated generalizations of Gauss' square exponent theorem

Shane Chern

arxiv:1803.09738 v1 · 2018-03-26 · 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{BC3BJRECJSBGNNTZXEJRDEF3ZF}

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	2026-05-18T00:20:10.565577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b614c4824c8266b679b9131190bbc95406a6e11bb4eb8c902682e9a0375d57

Aliases

arxiv: 1803.09738 · arxiv_version: 1803.09738v1 · doi: 10.48550/arxiv.1803.09738 · pith_short_12: BC3BJRECJSBG · pith_short_16: BC3BJRECJSBGNNTZ · pith_short_8: BC3BJREC

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/BC3BJRECJSBGNNTZXEJRDEF3ZF \
  | 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: 08b614c4824c8266b679b9131190bbc95406a6e11bb4eb8c902682e9a0375d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f616e16403308c9fc5439fd3228892625c58e2b064d828e2dd395747d9540fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-26T17:56:10Z",
    "title_canon_sha256": "0ab7cf76373f7e76a4f3fdb3209aba0a47416bc7f4b942e5b625475b0227a5fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09738",
    "kind": "arxiv",
    "version": 1
  }
}