Pith Number

pith:4KNFPAA4

pith:2018:4KNFPAA4FD5IZIY257ZGYNL5JU

not attested not anchored not stored refs pending

Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form

Manfred Knebusch, Zur Izhakian

arxiv:1807.02768 v1 · 2018-07-08 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KNFPAA4FD5IZIY257ZGYNL5JU}

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	2026-05-18T00:11:13.761193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29a57801c28fa8ca31aeff26c357d4d07972e215ab110f429f551a2a2c0da85

Aliases

arxiv: 1807.02768 · arxiv_version: 1807.02768v1 · doi: 10.48550/arxiv.1807.02768 · pith_short_12: 4KNFPAA4FD5I · pith_short_16: 4KNFPAA4FD5IZIY2 · pith_short_8: 4KNFPAA4

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/4KNFPAA4FD5IZIY257ZGYNL5JU \
  | 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: e29a57801c28fa8ca31aeff26c357d4d07972e215ab110f429f551a2a2c0da85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "695c448066660d3673c7e506067fdbcf18038dc65ab6526e0de5a897c2770515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-07-08T06:50:20Z",
    "title_canon_sha256": "2a2e88744da9c68c5f72405c0490d6f194680e001e2918c9c89e10a31ace7311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02768",
    "kind": "arxiv",
    "version": 1
  }
}