Pith Number

pith:J7OP54XB

pith:2015:J7OP54XBMIJT3ONT7ULRMTMW7Z

not attested not anchored not stored refs pending

Numerical Methods for the Discrete Map $Z^a$

Alexander Its, Folkmar Bornemann, Georg Wechslberger, Sheehan Olver

arxiv:1507.06805 v2 · 2015-07-24 · math.NA · 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{J7OP54XBMIJT3ONT7ULRMTMW7Z}

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	2026-05-18T01:34:54.337942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fdcfef2e162133db9b3fd17164d96fe69be513b3da1cda9fb3f1b24eb3f1113

Aliases

arxiv: 1507.06805 · arxiv_version: 1507.06805v2 · doi: 10.48550/arxiv.1507.06805 · pith_short_12: J7OP54XBMIJT · pith_short_16: J7OP54XBMIJT3ONT · pith_short_8: J7OP54XB

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/J7OP54XBMIJT3ONT7ULRMTMW7Z \
  | 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: 4fdcfef2e162133db9b3fd17164d96fe69be513b3da1cda9fb3f1b24eb3f1113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4eebef4f4de8b1ffccf32108a3078d0bd8165c800ccb67ccb4d53ed9798bda7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-24T10:45:38Z",
    "title_canon_sha256": "841b9afaf3ea294ad38c0f5d22271aff4ba15482bcc05f93633261139aca39d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06805",
    "kind": "arxiv",
    "version": 2
  }
}