Pith Number

pith:IM5VVYTY

pith:2018:IM5VVYTYCXDT6ZJC2YFCIPA445

not attested not anchored not stored refs pending

Radius estimates for Alexandrov space with boundary

Jian Ge, Ronggang Li

arxiv:1812.02571 v1 · 2018-12-06 · 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{IM5VVYTYCXDT6ZJC2YFCIPA445}

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	2026-05-17T23:58:55.401766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

433b5ae27815c73f6522d60a243c1ce74cdb5875e2ae8586fcbdb6bbfc368c73

Aliases

arxiv: 1812.02571 · arxiv_version: 1812.02571v1 · doi: 10.48550/arxiv.1812.02571 · pith_short_12: IM5VVYTYCXDT · pith_short_16: IM5VVYTYCXDT6ZJC · pith_short_8: IM5VVYTY

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/IM5VVYTYCXDT6ZJC2YFCIPA445 \
  | 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: 433b5ae27815c73f6522d60a243c1ce74cdb5875e2ae8586fcbdb6bbfc368c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa77ffc104b08fe6da13308c9f2630112d10bea538edabd6eb2c2787f639c5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-06T14:54:54Z",
    "title_canon_sha256": "b1a1a5a025b1673af891cd78e8c780adac4c8aae6ab3ed2e589731a2237a0d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02571",
    "kind": "arxiv",
    "version": 1
  }
}