Pith Number

pith:OXRN63KV

pith:2022:OXRN63KV2L47RPK6CBLIKGLDPM

not attested not anchored not stored refs pending

Gauss Sums in Algebra and Topology

Laurence R. Taylor

arxiv:2208.06319 v1 · 2022-08-12 · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXRN63KV2L47RPK6CBLIKGLDPM}

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	2026-07-05T04:48:03.468640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e2df6d55d2f9f8bd5e10568519637b308fc213de6d8233dcc3237525bd9be0

Aliases

arxiv: 2208.06319 · arxiv_version: 2208.06319v1 · doi: 10.48550/arxiv.2208.06319 · pith_short_12: OXRN63KV2L47 · pith_short_16: OXRN63KV2L47RPK6 · pith_short_8: OXRN63KV

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/OXRN63KV2L47RPK6CBLIKGLDPM \
  | 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: 75e2df6d55d2f9f8bd5e10568519637b308fc213de6d8233dcc3237525bd9be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec59cc9be7112717bb93444b310ef65ae839484457b3675f0b22336e4a345a3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-08-12T15:08:19Z",
    "title_canon_sha256": "b6d45dabea12cdbf6783e9ec65693aa624038015d0a1d8319e78162accf03114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.06319",
    "kind": "arxiv",
    "version": 1
  }
}