Pith Number

pith:F5OJNRJ5

pith:2013:F5OJNRJ5K6VMUP7O2NAVALORHH

not attested not anchored not stored refs pending

Chain Equivalences for Symplectic Bases, Quadratic Forms and Tensor Products of Quaternion Algebras

Adam Chapman

arxiv:1312.1676 v6 · 2013-12-05 · 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{F5OJNRJ5K6VMUP7O2NAVALORHH}

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	2026-05-18T02:29:11.238773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5c96c53d57aaca3feed341502dd139ea5e0ca97f181583ccc05f443ccc8a80

Aliases

arxiv: 1312.1676 · arxiv_version: 1312.1676v6 · doi: 10.48550/arxiv.1312.1676 · pith_short_12: F5OJNRJ5K6VM · pith_short_16: F5OJNRJ5K6VMUP7O · pith_short_8: F5OJNRJ5

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/F5OJNRJ5K6VMUP7O2NAVALORHH \
  | 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: 2f5c96c53d57aaca3feed341502dd139ea5e0ca97f181583ccc05f443ccc8a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25ca8abb3bf8cecfc0e9fcf9ca7afb8fba553c459d33557ffe47af1e523fa98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-05T20:41:08Z",
    "title_canon_sha256": "7a1e4ec27617936101ea11f2cb162a7155c0f24b32229f4c538210ced3400a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1676",
    "kind": "arxiv",
    "version": 6
  }
}