Pith Number

pith:KU3ZWA2C

pith:2005:KU3ZWA2CABWFQRXSIPVOBRE2DG

not attested not anchored not stored refs pending

Invariant triple products

Anton Deitmar

arxiv:math/0503379 v5 · 2005-03-18 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KU3ZWA2CABWFQRXSIPVOBRE2DG}

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	2026-05-18T00:42:08.133229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55379b0342006c5846f243eae0c49a199cfb360d0768101c6a10c5823600d0ee

Aliases

arxiv: math/0503379 · arxiv_version: math/0503379v5 · doi: 10.48550/arxiv.math/0503379 · pith_short_12: KU3ZWA2CABWF · pith_short_16: KU3ZWA2CABWFQRXS · pith_short_8: KU3ZWA2C

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/KU3ZWA2CABWFQRXSIPVOBRE2DG \
  | 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: 55379b0342006c5846f243eae0c49a199cfb360d0768101c6a10c5823600d0ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6317f86f9efd242fca4695cf08b30f09828739f624bfae043b673266255d4a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2005-03-18T13:28:16Z",
    "title_canon_sha256": "f7d19c07a430f25d2d30071ac46d052d74ec933e9cab79eda9e39f164a0d0f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503379",
    "kind": "arxiv",
    "version": 5
  }
}