Pith Number

pith:ATHZFEWJ

pith:2009:ATHZFEWJJEODULRRBSU6RCNQ2R

not attested not anchored not stored refs pending

Dark energy and Chern-Simons like gravity from a dynamical four-form

Patrick Das Gupta

arxiv:0905.1621 v4 · 2009-05-11 · gr-qc · 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{ATHZFEWJJEODULRRBSU6RCNQ2R}

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	2026-05-18T04:07:16.147162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cf9292c9491c3a2e310ca9e889b0d47410488947a40f670af1c5b3bd9a714b

Aliases

arxiv: 0905.1621 · arxiv_version: 0905.1621v4 · doi: 10.48550/arxiv.0905.1621 · pith_short_12: ATHZFEWJJEOD · pith_short_16: ATHZFEWJJEODULRR · pith_short_8: ATHZFEWJ

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/ATHZFEWJJEODULRRBSU6RCNQ2R \
  | 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: 04cf9292c9491c3a2e310ca9e889b0d47410488947a40f670af1c5b3bd9a714b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6de7dd3c8f025ea8a35d6f059537982d67cd5f87543d6e5150f87d6a8fac32",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-05-11T14:06:23Z",
    "title_canon_sha256": "01c1a281aae3e63a66eb5ff091fa5f8cab973a7b2a195db443d7cff91235e535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1621",
    "kind": "arxiv",
    "version": 4
  }
}