Pith Number

pith:UTYH5523

pith:2012:UTYH5523J6LGFSQWI4T72W54IX

not attested not anchored not stored refs pending

Complete Residue Systems: A Primer and an Application

Pietro Paparella

arxiv:1206.0486 v3 · 2012-06-03 · 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{UTYH5523J6LGFSQWI4T72W54IX}

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	2026-05-18T03:24:54.263550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f07ef75b4f9662ca164727fd5bbc45d2202ae3cd171f011f294550ec4d1b3f

Aliases

arxiv: 1206.0486 · arxiv_version: 1206.0486v3 · doi: 10.48550/arxiv.1206.0486 · pith_short_12: UTYH5523J6LG · pith_short_16: UTYH5523J6LGFSQW · pith_short_8: UTYH5523

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/UTYH5523J6LGFSQWI4T72W54IX \
  | 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: a4f07ef75b4f9662ca164727fd5bbc45d2202ae3cd171f011f294550ec4d1b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0a25c5f1c30d0a1dcfe5492dffbcde36d7d468615e29a07709a2668f8977fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-03T20:21:26Z",
    "title_canon_sha256": "e0176ff0b64e155de33bdeda5a610d7a4d270379b15e78642fcadce015d149ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0486",
    "kind": "arxiv",
    "version": 3
  }
}