Pith Number

pith:ND2VX2YJ

pith:2017:ND2VX2YJOTI3WQGZADQW2XEADB

not attested not anchored not stored refs pending

Signatures, sums of hermitian squares and positive cones on algebras with involution

Thomas Unger, Vincent Astier

arxiv:1706.01264 v2 · 2017-06-05 · 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{ND2VX2YJOTI3WQGZADQW2XEADB}

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	2026-05-18T00:18:09.663517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f55beb0974d1bb40d900e16d5c801867a513081fd5eab1340ad1d54756291d

Aliases

arxiv: 1706.01264 · arxiv_version: 1706.01264v2 · doi: 10.48550/arxiv.1706.01264 · pith_short_12: ND2VX2YJOTI3 · pith_short_16: ND2VX2YJOTI3WQGZ · pith_short_8: ND2VX2YJ

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/ND2VX2YJOTI3WQGZADQW2XEADB \
  | 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: 68f55beb0974d1bb40d900e16d5c801867a513081fd5eab1340ad1d54756291d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603ea1175faeed461dada872ae870143fd0003408de5b49710f8cb35a49d2504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-06-05T10:43:58Z",
    "title_canon_sha256": "305f0b91bec1f16b4baf68a004b9f0240c93660ced930ae1db0b25c553b8dfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01264",
    "kind": "arxiv",
    "version": 2
  }
}