Pith Number

pith:KHLV2ZPM

pith:2019:KHLV2ZPMPE4RXAFGW6IHB7RF5Y

not attested not anchored not stored refs pending

Some estimates of precision of the Huygens approximation

Bojan Banjac, Branko Malesevic, Ling Zhu, Marija Nenezic

arxiv:1907.09301 v3 · 2019-07-18 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHLV2ZPMPE4RXAFGW6IHB7RF5Y}

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	2026-07-05T00:44:26.128897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d75d65ec79391b80a6b79070fe25ee1c40a07cb2fd09d145c72899bc3806ed

Aliases

arxiv: 1907.09301 · arxiv_version: 1907.09301v3 · doi: 10.48550/arxiv.1907.09301 · pith_short_12: KHLV2ZPMPE4R · pith_short_16: KHLV2ZPMPE4RXAFG · pith_short_8: KHLV2ZPM

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/KHLV2ZPMPE4RXAFGW6IHB7RF5Y \
  | 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: 51d75d65ec79391b80a6b79070fe25ee1c40a07cb2fd09d145c72899bc3806ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0597c4ca5d3165f003a4c33d8cb0ad7c62180a15c45bbe90cfc5bfcee3ca6aa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-07-18T05:59:14Z",
    "title_canon_sha256": "4615f2d892e9679a9ad07cad910f141c208a9e58839c1e10956fdbbbebef0b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09301",
    "kind": "arxiv",
    "version": 3
  }
}