Pith Number

pith:IT5LL47A

pith:2016:IT5LL47AROF56MULK3B7V4K25Q

not attested not anchored not stored refs pending

Volume bounds of conic 2-spheres

Hao Fang, Mijia Lai

arxiv:1603.09603 v2 · 2016-03-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IT5LL47AROF56MULK3B7V4K25Q}

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	2026-05-18T01:17:22.898280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44fab5f3e08b8bdf328b56c3faf15aec1dd0d9560297ac7d833bbdfde3b36a37

Aliases

arxiv: 1603.09603 · arxiv_version: 1603.09603v2 · doi: 10.48550/arxiv.1603.09603 · pith_short_12: IT5LL47AROF5 · pith_short_16: IT5LL47AROF56MUL · pith_short_8: IT5LL47A

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/IT5LL47AROF56MULK3B7V4K25Q \
  | 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: 44fab5f3e08b8bdf328b56c3faf15aec1dd0d9560297ac7d833bbdfde3b36a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540f9055659e25408ca8c5d0d055304ad66766ab700028c1a44abed367ba641d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-31T14:28:33Z",
    "title_canon_sha256": "c72eabcad14a78938516d3c4e57eb948f840724372bf8ecfe170c196e8c42db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09603",
    "kind": "arxiv",
    "version": 2
  }
}