Pith Number

pith:CFAFSGZV

pith:2016:CFAFSGZVJ2BVN56E7LLJH7RZAC

not attested not anchored not stored refs pending

On Gauss Periods

Xiang-dong Hou

arxiv:1608.01655 v1 · 2016-08-04 · 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{CFAFSGZVJ2BVN56E7LLJH7RZAC}

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	2026-05-18T01:09:51.874664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1140591b354e8356f7c4fad693fe3900b3b5e1c61471c1c9616e7025ad8b9600

Aliases

arxiv: 1608.01655 · arxiv_version: 1608.01655v1 · doi: 10.48550/arxiv.1608.01655 · pith_short_12: CFAFSGZVJ2BV · pith_short_16: CFAFSGZVJ2BVN56E · pith_short_8: CFAFSGZV

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/CFAFSGZVJ2BVN56E7LLJH7RZAC \
  | 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: 1140591b354e8356f7c4fad693fe3900b3b5e1c61471c1c9616e7025ad8b9600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef15571690bc6e831d082af07aa642cf0928d76a507804379b413cb21288ac6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-04T19:42:25Z",
    "title_canon_sha256": "05a84c31d12dc851a8dc17f8db44cff8756684732edd50ad350f12e444237074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01655",
    "kind": "arxiv",
    "version": 1
  }
}