Pith Number

pith:N2GM6ERT

pith:2010:N2GM6ERT7UUXD64YP5CVU77RAM

not attested not anchored not stored refs pending

Error Estimates for Gaussian Beam Superpositions

Hailiang Liu, Nicolay M. Tanushev, Olof Runborg

arxiv:1008.1320 v2 · 2010-08-07 · 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{N2GM6ERT7UUXD64YP5CVU77RAM}

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	2026-05-18T04:20:51.210123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8ccf1233fd2971fb987f455a7ff10305e8536a7bda3c64c0f0d48be0cc594f

Aliases

arxiv: 1008.1320 · arxiv_version: 1008.1320v2 · doi: 10.48550/arxiv.1008.1320 · pith_short_12: N2GM6ERT7UUX · pith_short_16: N2GM6ERT7UUXD64Y · pith_short_8: N2GM6ERT

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/N2GM6ERT7UUXD64YP5CVU77RAM \
  | 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: 6e8ccf1233fd2971fb987f455a7ff10305e8536a7bda3c64c0f0d48be0cc594f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e644366bd7778e7b4c4ccf05b5624b2ae3fa15a959500d83b77e412fb851caa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-08-07T10:52:49Z",
    "title_canon_sha256": "d73fb7489044f6bcd7f1699c8ef03610deb339d32461b0ad6244b0c7946723b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1320",
    "kind": "arxiv",
    "version": 2
  }
}