Pith Number

pith:BPYP4YYD

pith:2017:BPYP4YYDSQ63ETN43H7F7PQZPW

not attested not anchored not stored refs pending

Analysis of Coupled Scalar Systems by Displacement Convexity

Nicolas Macris, Rafah El-Khatib, R\"udiger Urbanke, Tom Richardson

arxiv:1701.03767 v1 · 2017-01-13 · 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{BPYP4YYDSQ63ETN43H7F7PQZPW}

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	2026-05-18T00:52:53.881387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf0fe6303943db24dbcd9fe5fbe197d9818e20789fb604fac6fa03c6f34ea50

Aliases

arxiv: 1701.03767 · arxiv_version: 1701.03767v1 · doi: 10.48550/arxiv.1701.03767 · pith_short_12: BPYP4YYDSQ63 · pith_short_16: BPYP4YYDSQ63ETN4 · pith_short_8: BPYP4YYD

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/BPYP4YYDSQ63ETN43H7F7PQZPW \
  | 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: 0bf0fe6303943db24dbcd9fe5fbe197d9818e20789fb604fac6fa03c6f34ea50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6370fd48d1d198411de1a1873cb76b0ad4e9a4bcd06f396fe7cce8c98c9f1d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-13T18:26:05Z",
    "title_canon_sha256": "027d186dde46a10cd419f154120ca31aebde3b911ac3e8310dd6fa845180646b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03767",
    "kind": "arxiv",
    "version": 1
  }
}