Pith Number

pith:CDC3KYPZ

pith:2019:CDC3KYPZ3H6G7NAGMUS3BEJ6WU

not attested not anchored not stored refs pending

A Quaternionic Nullstellensatz

Elad Paran, Gil Alon

arxiv:1911.10595 v3 · 2019-11-24 · 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{CDC3KYPZ3H6G7NAGMUS3BEJ6WU}

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	2026-07-05T01:34:50.591655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10c5b561f9d9fc6fb4066525b0913eb528f04f526244e419e8a30d203b91fbb1

Aliases

arxiv: 1911.10595 · arxiv_version: 1911.10595v3 · doi: 10.48550/arxiv.1911.10595 · pith_short_12: CDC3KYPZ3H6G · pith_short_16: CDC3KYPZ3H6G7NAG · pith_short_8: CDC3KYPZ

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/CDC3KYPZ3H6G7NAGMUS3BEJ6WU \
  | 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: 10c5b561f9d9fc6fb4066525b0913eb528f04f526244e419e8a30d203b91fbb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44eaa6f2b40b67a081cb7bf0b2eba627a129e8f4af595d231365cfa9bf79f899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-11-24T19:32:41Z",
    "title_canon_sha256": "3d643accbbecb5074246604a45935b01e0aec2d54c3aacb310363660db0ccac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.10595",
    "kind": "arxiv",
    "version": 3
  }
}