Pith Number

pith:A6QJJRIU

pith:2015:A6QJJRIUEFOPLE3ZW2X6V2B45O

not attested not anchored not stored refs pending

Spaces of nonnegatively curved surfaces

Igor Belegradek, Taras Banakh

arxiv:1510.07269 v2 · 2015-10-25 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6QJJRIUEFOPLE3ZW2X6V2B45O}

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	2026-05-18T00:49:42.622589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a094c514215cf59379b6afeae83ceb94fdd50b52bf103a168f0aa058d8a35d

Aliases

arxiv: 1510.07269 · arxiv_version: 1510.07269v2 · doi: 10.48550/arxiv.1510.07269 · pith_short_12: A6QJJRIUEFOP · pith_short_16: A6QJJRIUEFOPLE3Z · pith_short_8: A6QJJRIU

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/A6QJJRIUEFOPLE3ZW2X6V2B45O \
  | 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: 07a094c514215cf59379b6afeae83ceb94fdd50b52bf103a168f0aa058d8a35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5300205249f70dceeedff62dafbaf1cd517b33b291e8d9c563e3863593c5a741",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-25T17:05:06Z",
    "title_canon_sha256": "8f5412ae3b7f8bca294a368b847a710605c47e0b97a77059f1a1866a2f35dc05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07269",
    "kind": "arxiv",
    "version": 2
  }
}