Pith Number

pith:YZMZOK34

pith:2016:YZMZOK34FSL2STN2XPD6TPLZAX

not attested not anchored not stored refs pending

Asymptotic Analysis and Spatial Coupling of Counter Braids

Alexandre Graell i Amat, Eirik Rosnes

arxiv:1602.06199 v2 · 2016-02-19 · 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{YZMZOK34FSL2STN2XPD6TPLZAX}

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	2026-05-18T00:15:31.228841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c659972b7c2c97a94dbabbc7e9bd7905e21cc764aa6f2c610ccfe01dba4884aa

Aliases

arxiv: 1602.06199 · arxiv_version: 1602.06199v2 · doi: 10.48550/arxiv.1602.06199 · pith_short_12: YZMZOK34FSL2 · pith_short_16: YZMZOK34FSL2STN2 · pith_short_8: YZMZOK34

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/YZMZOK34FSL2STN2XPD6TPLZAX \
  | 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: c659972b7c2c97a94dbabbc7e9bd7905e21cc764aa6f2c610ccfe01dba4884aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f51b03233901122cbe3062b2ed6a0457d5b3e4eb119625a553e68677a81790",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-19T16:05:01Z",
    "title_canon_sha256": "4c287a8e4d0c611afabd1fa042b3b1a65563cb65273b4adeedfa1e664bd862cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06199",
    "kind": "arxiv",
    "version": 2
  }
}