Pith Number

pith:PH2OAQPU

pith:2014:PH2OAQPUBWVJ3LFFPVZD3QWJCK

not attested not anchored not stored refs pending

On extendibility of additive code isometries

Serhii Dyshko

arxiv:1406.1714 v2 · 2014-06-06 · 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{PH2OAQPUBWVJ3LFFPVZD3QWJCK}

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	2026-05-18T01:12:23.000393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f4e041f40daa9daca57d723dc2c912933bd4e8373c4a53ea4c9c99edcd132e

Aliases

arxiv: 1406.1714 · arxiv_version: 1406.1714v2 · doi: 10.48550/arxiv.1406.1714 · pith_short_12: PH2OAQPUBWVJ · pith_short_16: PH2OAQPUBWVJ3LFF · pith_short_8: PH2OAQPU

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/PH2OAQPUBWVJ3LFFPVZD3QWJCK \
  | 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: 79f4e041f40daa9daca57d723dc2c912933bd4e8373c4a53ea4c9c99edcd132e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2993c82203111e71721b8adee186ca35c6205081a641ed435b5aa1b36d1cf50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-06T15:39:38Z",
    "title_canon_sha256": "e9f6f32686b2ef491b3f2d6bc79824d20ce5fa08a717aeef8e02f50ebe41610d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1714",
    "kind": "arxiv",
    "version": 2
  }
}