Pith Number

pith:FJLA4SSX

pith:1993:FJLA4SSXQVVTFEUPI7P6BRGPFF

not attested not anchored not stored refs pending

Asymptotic approximations for symmetric elliptic integrals

Bille C. Carlson, John L. Gustafson

arxiv:math/9310223 v1 · 1993-10-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJLA4SSXQVVTFEUPI7P6BRGPFF}

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	2026-05-18T01:05:51.848203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a560e4a57856b32928f47dfe0c4cf2962790a6cb485310c298511d2bdb3d6e2

Aliases

arxiv: math/9310223 · arxiv_version: math/9310223v1 · doi: 10.48550/arxiv.math/9310223 · pith_short_12: FJLA4SSXQVVT · pith_short_16: FJLA4SSXQVVTFEUP · pith_short_8: FJLA4SSX

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/FJLA4SSXQVVTFEUPI7P6BRGPFF \
  | 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: 2a560e4a57856b32928f47dfe0c4cf2962790a6cb485310c298511d2bdb3d6e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "486e6fc12789521215a9f9328758b91d204f923b0f58d15d3ced4145511744cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1993-10-07T00:00:00Z",
    "title_canon_sha256": "436c3b07b464a35669eb3f63eeb5e2737dd24f97b3d03e3ea68124d15e8df430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9310223",
    "kind": "arxiv",
    "version": 1
  }
}