Pith Number

pith:I3SU7JKN

pith:2007:I3SU7JKNJDM5H4PPUYJO4ZXMZ7

not attested not anchored not stored refs pending

Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms

Ari Stern, Jerrold E. Marsden, Mathieu Desbrun, Yiying Tong

arxiv:0707.4470 v3 · 2007-07-30 · math.NA · physics.comp-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{I3SU7JKNJDM5H4PPUYJO4ZXMZ7}

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	2026-05-18T01:27:55.187402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e54fa54d48d9d3f1efa612ee66eccffef19604552f50b6d9561e962d3506e7

Aliases

arxiv: 0707.4470 · arxiv_version: 0707.4470v3 · doi: 10.48550/arxiv.0707.4470 · pith_short_12: I3SU7JKNJDM5 · pith_short_16: I3SU7JKNJDM5H4PP · pith_short_8: I3SU7JKN

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/I3SU7JKNJDM5H4PPUYJO4ZXMZ7 \
  | 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: 46e54fa54d48d9d3f1efa612ee66eccffef19604552f50b6d9561e962d3506e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c7e481137027c3af5def4a71e34bb9cf3084a945ca866c5c38c6eb293b22ba0",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2007-07-30T19:38:41Z",
    "title_canon_sha256": "a80074125ba4b1afdfc0aac5582cfdf3742128672295b0f2ab4979491432a839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4470",
    "kind": "arxiv",
    "version": 3
  }
}