Pith Number

pith:JM4K6BIS

pith:2012:JM4K6BISK7KIAPONGMDRQ6LF73

not attested not anchored not stored refs pending

Some analysable instances of mu-synthesis

N. J. Young

arxiv:1201.1773 v1 · 2012-01-09 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JM4K6BISK7KIAPONGMDRQ6LF73}

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	2026-05-18T04:04:55.765130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b38af051257d4803dcd3307187965fed3a9f3ceb58041966a8f1321b8f587c6

Aliases

arxiv: 1201.1773 · arxiv_version: 1201.1773v1 · doi: 10.48550/arxiv.1201.1773 · pith_short_12: JM4K6BISK7KI · pith_short_16: JM4K6BISK7KIAPON · pith_short_8: JM4K6BIS

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/JM4K6BISK7KIAPONGMDRQ6LF73 \
  | 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: 4b38af051257d4803dcd3307187965fed3a9f3ceb58041966a8f1321b8f587c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05d46de22a5106988e3d32c143c38ae4b560a43744fd3add49fcdf66743ae9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-09T14:18:17Z",
    "title_canon_sha256": "0dd6e79b233ecf49b4c25ea771b70bf5acf7835d754d76264e1d0dd3cad5693d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1773",
    "kind": "arxiv",
    "version": 1
  }
}