Pith Number

pith:GRDNJERO

pith:2013:GRDNJERO7A5P2EWPRXSTB44CIT

not attested not anchored not stored refs pending

Universal Polarization

Eren Sasoglu, Lele Wang

arxiv:1307.7495 v2 · 2013-07-29 · cs.IT · 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{GRDNJERO7A5P2EWPRXSTB44CIT}

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	2026-05-18T03:03:54.661001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3446d4922ef83afd12cf8de530f38244fd532bfe3b2bafa79e4f4a0431c82c3f

Aliases

arxiv: 1307.7495 · arxiv_version: 1307.7495v2 · doi: 10.48550/arxiv.1307.7495 · pith_short_12: GRDNJERO7A5P · pith_short_16: GRDNJERO7A5P2EWP · pith_short_8: GRDNJERO

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/GRDNJERO7A5P2EWPRXSTB44CIT \
  | 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: 3446d4922ef83afd12cf8de530f38244fd532bfe3b2bafa79e4f4a0431c82c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c56569929a03feeaba9957796584c178b6203672170c31d1c02bb787138db89",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-29T08:30:13Z",
    "title_canon_sha256": "01001ca6701fba1584e88b7fc88979041a48a4c784394a2f3ac1b1a9eb25fd68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7495",
    "kind": "arxiv",
    "version": 2
  }
}