Pith Number

pith:D66T3GO3

pith:2013:D66T3GO33Z5GUNYWW7XC5TCCBB

not attested not anchored not stored refs pending

The Space of Solutions of Coupled XORSAT Formulae

Nicolas Macris, Rudiger Urbanke, S. Hamed Hassani

arxiv:1303.0540 v1 · 2013-03-03 · cond-mat.dis-nn · cs.DM · 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{D66T3GO33Z5GUNYWW7XC5TCCBB}

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	2026-05-18T03:31:55.622688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbd3d99dbde7a6a3716b7ee2ecc42086891131c5cc65717ac047f560e25fc01

Aliases

arxiv: 1303.0540 · arxiv_version: 1303.0540v1 · doi: 10.48550/arxiv.1303.0540 · pith_short_12: D66T3GO33Z5G · pith_short_16: D66T3GO33Z5GUNYW · pith_short_8: D66T3GO3

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/D66T3GO33Z5GUNYWW7XC5TCCBB \
  | 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: 1fbd3d99dbde7a6a3716b7ee2ecc42086891131c5cc65717ac047f560e25fc01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951ad30392b38bb65eedcff141d0ae5071ad4ca39b2ddeb2478e793cdfb50b1c",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2013-03-03T18:23:58Z",
    "title_canon_sha256": "7bad9c17ab001d85094bb3aae16442590d243f86c3c223993a3274f192303dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0540",
    "kind": "arxiv",
    "version": 1
  }
}