Pith Number

pith:XHBCXZ63

pith:2015:XHBCXZ63H647OR2OG7LMNECZZR

not attested not anchored not stored refs pending

Signatures of hermitian forms, positivity, and an answer to a question of Procesi and Schacher

Thomas Unger, Vincent Astier

arxiv:1511.06330 v3 · 2015-11-19 · 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{XHBCXZ63H647OR2OG7LMNECZZR}

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	2026-05-18T01:03:50.856862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c22be7db3fb9f7474e37d6c69059cc66376aca84a657538f25b17f04fdcb2c

Aliases

arxiv: 1511.06330 · arxiv_version: 1511.06330v3 · doi: 10.48550/arxiv.1511.06330 · pith_short_12: XHBCXZ63H647 · pith_short_16: XHBCXZ63H647OR2O · pith_short_8: XHBCXZ63

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/XHBCXZ63H647OR2OG7LMNECZZR \
  | 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: b9c22be7db3fb9f7474e37d6c69059cc66376aca84a657538f25b17f04fdcb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f48761afd7ad4fa59fc0572046552251c1ec0193d5ab2bd1914b308a213133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-19T19:55:01Z",
    "title_canon_sha256": "77061f171a245c5ab6af12fb335716c2e118fc6f67b9dbec22aa089ae635bd8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06330",
    "kind": "arxiv",
    "version": 3
  }
}