Pith Number

pith:AJTJBXW3

pith:2008:AJTJBXW3GSARCQWPDZWHG6ESFN

not attested not anchored not stored refs pending

A B-spline Galerkin method for the Dirac equation

Charlotte Froese Fischer, Oleg Zatsarinny

arxiv:0806.3067 v1 · 2008-06-18 · physics.atom-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJTJBXW3GSARCQWPDZWHG6ESFN}

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	2026-05-18T02:15:51.382505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026690dedb34811142cf1e6c7378922b693ff96c0783fc23a129fb785ad92ee1

Aliases

arxiv: 0806.3067 · arxiv_version: 0806.3067v1 · doi: 10.48550/arxiv.0806.3067 · pith_short_12: AJTJBXW3GSAR · pith_short_16: AJTJBXW3GSARCQWP · pith_short_8: AJTJBXW3

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/AJTJBXW3GSARCQWPDZWHG6ESFN \
  | 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: 026690dedb34811142cf1e6c7378922b693ff96c0783fc23a129fb785ad92ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6a97281a58acc11fca2bccebbefb814d62dd4074c077debbeb852764ef8ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2008-06-18T19:00:15Z",
    "title_canon_sha256": "ed97beeea0878c0f9add896a1763a07e1869ae50ef737b042161cd5e01a11c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3067",
    "kind": "arxiv",
    "version": 1
  }
}