Pith Number

pith:DDA26YT5

pith:2011:DDA26YT5IITJZLX3B6KWGS7FHG

not attested not anchored not stored refs pending

Dirac Field in FRW Spacetime: Current and Energy Momentum

P. R. Dhungel, U. Khanal

arxiv:1109.6412 v3 · 2011-09-29 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDA26YT5IITJZLX3B6KWGS7FHG}

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	2026-05-18T02:58:43.588177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c1af627d42269caefb0f95634be539a403591136585cae73aef151d26d31fc

Aliases

arxiv: 1109.6412 · arxiv_version: 1109.6412v3 · doi: 10.48550/arxiv.1109.6412 · pith_short_12: DDA26YT5IITJ · pith_short_16: DDA26YT5IITJZLX3 · pith_short_8: DDA26YT5

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/DDA26YT5IITJZLX3B6KWGS7FHG \
  | 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: 18c1af627d42269caefb0f95634be539a403591136585cae73aef151d26d31fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcff4e916d2a3fa7b2f511a166bf445eee4c03ddc68ac2f5ac9b2cb0019440a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-29T06:27:01Z",
    "title_canon_sha256": "754de5f551171982d67c21c9e8cbc5b55792519ef20a99eecbfba3c9c2afeb62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6412",
    "kind": "arxiv",
    "version": 3
  }
}