Pith Number

pith:Z4L65SIS

pith:2016:Z4L65SISR6NMC67EHP4TGXKPOR

not attested not anchored not stored refs pending

Convex Hull of Two Circles in R^3

Ata Firat Pir, Evan D. Nash, Frank Sottile, Li Ying

arxiv:1612.09382 v2 · 2016-12-30 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4L65SISR6NMC67EHP4TGXKPOR}

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	2026-05-18T00:52:22.329546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf17eec9128f9ac17be43bf9335d4f74768bc25bfbcb9d2eb20e5cf8dbcb1bf0

Aliases

arxiv: 1612.09382 · arxiv_version: 1612.09382v2 · doi: 10.48550/arxiv.1612.09382 · pith_short_12: Z4L65SISR6NM · pith_short_16: Z4L65SISR6NMC67E · pith_short_8: Z4L65SIS

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/Z4L65SISR6NMC67EHP4TGXKPOR \
  | 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: cf17eec9128f9ac17be43bf9335d4f74768bc25bfbcb9d2eb20e5cf8dbcb1bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e299d603e94f685dca0554cb764913acc6c421561fb5dec82fa92e7a4287d3ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-30T04:23:32Z",
    "title_canon_sha256": "60171eb5affce5c8ff122b4c3c2a7ffb60426249c30444bdd2e94046539a56ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09382",
    "kind": "arxiv",
    "version": 2
  }
}