Pith Number

pith:XPTWXYOB

pith:2017:XPTWXYOBOA56CB3MEQRFFSFDXW

not attested not anchored not stored refs pending

The next-to-minimal weights of binary projective Reed-Muller codes

C\'icero Carvalho, Victor G.L. Neumann

arxiv:1701.01658 v1 · 2017-01-06 · cs.IT · math.AG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPTWXYOBOA56CB3MEQRFFSFDXW}

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	2026-05-18T00:53:16.285943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe76be1c1703be1076c242252c8a3bd9e3142970f0a5a833d9ec34c4602ef41

Aliases

arxiv: 1701.01658 · arxiv_version: 1701.01658v1 · doi: 10.48550/arxiv.1701.01658 · pith_short_12: XPTWXYOBOA56 · pith_short_16: XPTWXYOBOA56CB3M · pith_short_8: XPTWXYOB

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/XPTWXYOBOA56CB3MEQRFFSFDXW \
  | 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: bbe76be1c1703be1076c242252c8a3bd9e3142970f0a5a833d9ec34c4602ef41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5e533ed44a87745949c849446f35bf00a66c2f07129daab3d8a4664ac3f137",
    "cross_cats_sorted": [
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-06T15:17:21Z",
    "title_canon_sha256": "28fe65fe55e363cf48bb521a007a32ceb1e961d04f7eaa614bbcfd7ca65988aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01658",
    "kind": "arxiv",
    "version": 1
  }
}