Pith Number

pith:AALEY4HH

pith:2010:AALEY4HH3M74MYDTLJLIXVG2X4

not attested not anchored not stored refs pending

Parameterized Adaptive Multidimensional Integration Routines (PAMIR): Localization by Repeated 2^p Subdivision

Stephen L. Adler

arxiv:1009.4647 v2 · 2010-09-23 · hep-ph · cs.MS · cs.NA · 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{AALEY4HH3M74MYDTLJLIXVG2X4}

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	2026-05-18T04:38:15.239988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00164c70e7db3fc660735a568bd4dabf0e31b4dda1eb733a3b0041dd8bad7cb0

Aliases

arxiv: 1009.4647 · arxiv_version: 1009.4647v2 · doi: 10.48550/arxiv.1009.4647 · pith_short_12: AALEY4HH3M74 · pith_short_16: AALEY4HH3M74MYDT · pith_short_8: AALEY4HH

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/AALEY4HH3M74MYDTLJLIXVG2X4 \
  | 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: 00164c70e7db3fc660735a568bd4dabf0e31b4dda1eb733a3b0041dd8bad7cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78a0479191a04b7132cf2fe7a7098f18131f401e9619bc0157d0ef4ab45bc26b",
    "cross_cats_sorted": [
      "cs.MS",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-09-23T15:54:20Z",
    "title_canon_sha256": "7adff7442f53f5616ab98ec698cb9506293f4c4d8e1e60410001130c747a2b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4647",
    "kind": "arxiv",
    "version": 2
  }
}