Pith Number

pith:KOLFUZ6F

pith:2015:KOLFUZ6FZBJGSDJFQHIA6EUTVB

not attested not anchored not stored refs pending

Application of covariant analytic mechanics with differential forms to gravity with Dirac field

Satoshi Nakajima

arxiv:1510.09048 v2 · 2015-10-30 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOLFUZ6FZBJGSDJFQHIA6EUTVB}

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	2026-05-18T01:14:02.718957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53965a67c5c852690d2581d00f1293a846e69aefc46358867abdeaca845ccdbf

Aliases

arxiv: 1510.09048 · arxiv_version: 1510.09048v2 · doi: 10.48550/arxiv.1510.09048 · pith_short_12: KOLFUZ6FZBJG · pith_short_16: KOLFUZ6FZBJGSDJF · pith_short_8: KOLFUZ6F

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/KOLFUZ6FZBJGSDJFQHIA6EUTVB \
  | 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: 53965a67c5c852690d2581d00f1293a846e69aefc46358867abdeaca845ccdbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f0ca33f1ad9fb93187c2833541dad3ea6fed2c98299ae56f5c61a34c77eff9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-30T11:12:06Z",
    "title_canon_sha256": "bca2a0927dd56a6e4177c5042bff691d594f0616b9411e3d3fcde423f0775f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09048",
    "kind": "arxiv",
    "version": 2
  }
}