Pith Number

pith:5GNK5OGA

pith:2014:5GNK5OGACK3NTB6GXVUQIMNTEM

not attested not anchored not stored refs pending

On Bisectors in Normed Spaces

Margarita Spirova, Thomas Jahn

arxiv:1409.1833 v1 · 2014-09-05 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GNK5OGACK3NTB6GXVUQIMNTEM}

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	2026-05-18T00:40:16.603099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99aaeb8c012b6d987c6bd690431b3231e31d49bca6182f9e576ae783a179683

Aliases

arxiv: 1409.1833 · arxiv_version: 1409.1833v1 · doi: 10.48550/arxiv.1409.1833 · pith_short_12: 5GNK5OGACK3N · pith_short_16: 5GNK5OGACK3NTB6G · pith_short_8: 5GNK5OGA

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/5GNK5OGACK3NTB6GXVUQIMNTEM \
  | 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: e99aaeb8c012b6d987c6bd690431b3231e31d49bca6182f9e576ae783a179683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4aaf362f545961386a427193cc59f94216beafce829a2f15626b47e06631816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-09-05T15:13:12Z",
    "title_canon_sha256": "08e30f32daeb762c3536c2557b8b96c9e9f5fe144ef42b7e54a3d4bffa78f308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1833",
    "kind": "arxiv",
    "version": 1
  }
}