Pith Number

pith:IOPV2LQL

pith:2012:IOPV2LQLTMDDQQ3SZHXP3FYNFR

not attested not anchored not stored refs pending

Every Binary Self-Dual Code Arises From Hilbert Symbols

Ted Chinburg, Ying Zhang

arxiv:1204.3115 v2 · 2012-04-13 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOPV2LQLTMDDQQ3SZHXP3FYNFR}

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	2026-05-18T03:42:46.090346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439f5d2e0b9b06384372c9eefd970d2c45a0ce98dcb16a9f29b08ed4c0d18953

Aliases

arxiv: 1204.3115 · arxiv_version: 1204.3115v2 · doi: 10.48550/arxiv.1204.3115 · pith_short_12: IOPV2LQLTMDD · pith_short_16: IOPV2LQLTMDDQQ3S · pith_short_8: IOPV2LQL

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/IOPV2LQLTMDDQQ3SZHXP3FYNFR \
  | 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: 439f5d2e0b9b06384372c9eefd970d2c45a0ce98dcb16a9f29b08ed4c0d18953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d3d561ca8071da6af1c8846f3410e2db10a602cd8a3702786aa9c80d53fb559",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-13T22:00:09Z",
    "title_canon_sha256": "480369584f54d74dd122a3da972333d9b1826e08b823615f2b2b1d9c00fca933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3115",
    "kind": "arxiv",
    "version": 2
  }
}