Pith Number

pith:W5SPS634

pith:2008:W5SPS634Q3ZYWVDA5GMHMDJVUP

not attested not anchored not stored refs pending

N=4 Mechanics, WDVV Equations and Polytopes

Olaf Lechtenfeld

arxiv:0811.0021 v2 · 2008-11-03 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5SPS634Q3ZYWVDA5GMHMDJVUP}

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	2026-05-18T02:35:14.084817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b764f97b7c86f38b5460e998760d35a3cc2e42b4a1598e0b93406c72605417ea

Aliases

arxiv: 0811.0021 · arxiv_version: 0811.0021v2 · doi: 10.48550/arxiv.0811.0021 · pith_short_12: W5SPS634Q3ZY · pith_short_16: W5SPS634Q3ZYWVDA · pith_short_8: W5SPS634

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/W5SPS634Q3ZYWVDA5GMHMDJVUP \
  | 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: b764f97b7c86f38b5460e998760d35a3cc2e42b4a1598e0b93406c72605417ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5990c2723a46454b7fafc98951757c7842406ee33c2f2d028535c035e1a341",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-11-03T09:04:50Z",
    "title_canon_sha256": "cdb336723992a6b7a2b7f88ec2c6d280a6045c1783e570043bcb8caeb97885b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0021",
    "kind": "arxiv",
    "version": 2
  }
}