Pith Number

pith:MA3Q3O2I

pith:2016:MA3Q3O2IASVFNVY6UKYC4NISH5

not attested not anchored not stored refs pending

Computing with functions in spherical and polar geometries II. The disk

Alex Townsend, Grady Wright, Heather Wilber

arxiv:1604.03061 v2 · 2016-04-11 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MA3Q3O2IASVFNVY6UKYC4NISH5}

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	2026-05-18T00:47:54.840644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60370dbb4804aa56d71ea2b02e35123f67415dad7ca6744983c2ad53ce1622cc

Aliases

arxiv: 1604.03061 · arxiv_version: 1604.03061v2 · doi: 10.48550/arxiv.1604.03061 · pith_short_12: MA3Q3O2IASVF · pith_short_16: MA3Q3O2IASVFNVY6 · pith_short_8: MA3Q3O2I

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/MA3Q3O2IASVFNVY6UKYC4NISH5 \
  | 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: 60370dbb4804aa56d71ea2b02e35123f67415dad7ca6744983c2ad53ce1622cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2249c3788275694c807a195a5a2a732709762a814319bf837ce0667bfd107499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-11T18:44:26Z",
    "title_canon_sha256": "a795bab61d2ef88193d137fe90d123678b5c3dbc765e9471588ad023caf75b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03061",
    "kind": "arxiv",
    "version": 2
  }
}