Pith Number

pith:KGC6CWNR

pith:2012:KGC6CWNRV3LTZNQZO4FPN374TV

not attested not anchored not stored refs pending

Exponential transforms, resultants and moments

Bj\"orn Gustafsson

arxiv:1212.0678 v1 · 2012-12-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGC6CWNRV3LTZNQZO4FPN374TV}

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	2026-05-18T03:39:15.511223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5185e159b1aed73cb619770af6effc9d68fc287629e9bc32c8341b35f62881fd

Aliases

arxiv: 1212.0678 · arxiv_version: 1212.0678v1 · doi: 10.48550/arxiv.1212.0678 · pith_short_12: KGC6CWNRV3LT · pith_short_16: KGC6CWNRV3LTZNQZ · pith_short_8: KGC6CWNR

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/KGC6CWNRV3LTZNQZO4FPN374TV \
  | 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: 5185e159b1aed73cb619770af6effc9d68fc287629e9bc32c8341b35f62881fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98bacf4be895059dce3e8a4ea27a22092ab79ddeb7be79f800a9619a28eb06b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-04T11:12:57Z",
    "title_canon_sha256": "31f2b7e76badfc43b0e2309346bd9577e7486ed7b0c34b75fb9d8de9ed5a89ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0678",
    "kind": "arxiv",
    "version": 1
  }
}