Pith Number

pith:MK4TO57K

pith:2015:MK4TO57KPKTYBZVCFITKIK3VDE

not attested not anchored not stored refs pending

On the Method of Brackets: Rules, Examples, Interpretations and Modifications

Lin Jiu

arxiv:1506.06985 v4 · 2015-06-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MK4TO57KPKTYBZVCFITKIK3VDE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:33:24.208778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b93777ea7aa780e6a22a26a42b751908c2498c3b2fa2f49af9c244230f08f1

Aliases

arxiv: 1506.06985 · arxiv_version: 1506.06985v4 · doi: 10.48550/arxiv.1506.06985 · pith_short_12: MK4TO57KPKTY · pith_short_16: MK4TO57KPKTYBZVC · pith_short_8: MK4TO57K

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/MK4TO57KPKTYBZVCFITKIK3VDE \
  | 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: 62b93777ea7aa780e6a22a26a42b751908c2498c3b2fa2f49af9c244230f08f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f856279ec9e5b3382e216564361b7c21c4e2597660f22dd194d0e7328b450690",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-23T13:33:50Z",
    "title_canon_sha256": "321cc6a2d61c8d50452297798799a5213aabf78eb391a88c1504dde8273b24f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06985",
    "kind": "arxiv",
    "version": 4
  }
}