Pith Number

pith:ZP4IZPQI

pith:2016:ZP4IZPQI7FMA6EQUYABZJVG4B7

not attested not anchored not stored refs pending

TMAC: A Toolbox of Modern Async-Parallel, Coordinate, Splitting, and Stochastic Methods

Brent Edmunds, Wotao Yin, Zhimin Peng

arxiv:1606.04551 v1 · 2016-06-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP4IZPQI7FMA6EQUYABZJVG4B7}

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	2026-05-18T01:12:24.831132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf88cbe08f9580f1214c00394d4dc0fd07ac25d850add9c620ebbbea3aee411

Aliases

arxiv: 1606.04551 · arxiv_version: 1606.04551v1 · doi: 10.48550/arxiv.1606.04551 · pith_short_12: ZP4IZPQI7FMA · pith_short_16: ZP4IZPQI7FMA6EQU · pith_short_8: ZP4IZPQI

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/ZP4IZPQI7FMA6EQUYABZJVG4B7 \
  | 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: cbf88cbe08f9580f1214c00394d4dc0fd07ac25d850add9c620ebbbea3aee411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f00c5d02f95c1057d54c9d8ccebd281ad17ea300e041fa88e9963dfe98bf95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-14T20:26:50Z",
    "title_canon_sha256": "8b6519d17119fe2d018e6892b60f61e4f92e3853dc14ab893fdc20950593ab8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04551",
    "kind": "arxiv",
    "version": 1
  }
}