Pith Number

pith:SPGNZ4Z4

pith:2013:SPGNZ4Z47R4ESKWTJZ22OAG7LG

not attested not anchored not stored refs pending

On the Arithmetic determination of the trace

Guillermo Mantilla-Soler

arxiv:1308.2187 v2 · 2013-08-09 · 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{SPGNZ4Z47R4ESKWTJZ22OAG7LG}

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	2026-05-18T01:29:59.757916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ccdcf33cfc78492ad34e75a700df59bf0731712812f1e5dc5dcc17d6dd1d1f

Aliases

arxiv: 1308.2187 · arxiv_version: 1308.2187v2 · doi: 10.48550/arxiv.1308.2187 · pith_short_12: SPGNZ4Z47R4E · pith_short_16: SPGNZ4Z47R4ESKWT · pith_short_8: SPGNZ4Z4

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/SPGNZ4Z47R4ESKWTJZ22OAG7LG \
  | 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: 93ccdcf33cfc78492ad34e75a700df59bf0731712812f1e5dc5dcc17d6dd1d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4595a1ff5ef350efab198e10af0557ce001cc8e8d9e5d8b2f10fec6836096d8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-09T17:11:04Z",
    "title_canon_sha256": "01c48a61607039733e2d8ad9343a099c48d54d0f21285a06dfcf2ce77e77ac31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2187",
    "kind": "arxiv",
    "version": 2
  }
}