Pith Number

pith:BNSGVB42

pith:2004:BNSGVB42IPMJWR2VY3KRPIXGFB

not attested not anchored not stored refs pending

Structure of the unitary valuation algebra

Joseph H.G. Fu

arxiv:math/0410575 v3 · 2004-10-27 · math.DG · 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{BNSGVB42IPMJWR2VY3KRPIXGFB}

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	2026-05-18T03:40:37.259637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b646a879a43d89b4755c6d517a2e6287f53d803ab2977657752374f27215dd1

Aliases

arxiv: math/0410575 · arxiv_version: math/0410575v3 · doi: 10.48550/arxiv.math/0410575 · pith_short_12: BNSGVB42IPMJ · pith_short_16: BNSGVB42IPMJWR2V · pith_short_8: BNSGVB42

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/BNSGVB42IPMJWR2VY3KRPIXGFB \
  | 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: 0b646a879a43d89b4755c6d517a2e6287f53d803ab2977657752374f27215dd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647747e1fe162c65295867c6a35295d0480d733790d728a0dc9a37524acd9114",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-10-27T14:56:44Z",
    "title_canon_sha256": "adbf8f4b8d1b5ff3e04b9d24068213e21aeebb64ccc491ecff11f25da828b5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410575",
    "kind": "arxiv",
    "version": 3
  }
}