Pith Number

pith:RGAAQUCI

pith:2013:RGAAQUCIUJEZ3Z6NLR2UBXYDCV

not attested not anchored not stored refs pending

Thresholds of Spatially Coupled Systems via Lyapunov's Method

Christian Schlegel, Marat Burnashev

arxiv:1306.3610 v1 · 2013-06-15 · 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{RGAAQUCIUJEZ3Z6NLR2UBXYDCV}

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	2026-05-18T03:20:47.076558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8980085048a2499de7cd5c7540df031570913471d078aa8276d3e95100e434be

Aliases

arxiv: 1306.3610 · arxiv_version: 1306.3610v1 · doi: 10.48550/arxiv.1306.3610 · pith_short_12: RGAAQUCIUJEZ · pith_short_16: RGAAQUCIUJEZ3Z6N · pith_short_8: RGAAQUCI

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/RGAAQUCIUJEZ3Z6NLR2UBXYDCV \
  | 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: 8980085048a2499de7cd5c7540df031570913471d078aa8276d3e95100e434be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c64f4712d55d09eb6b7ad995c9dce579048ecb7338b6f86d56a6b78f6730bdc6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-15T22:27:53Z",
    "title_canon_sha256": "832ac658155bef5528c1eef3cf560e2affdb0dd465ed56f06820deb52a383161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3610",
    "kind": "arxiv",
    "version": 1
  }
}