Pith Number

pith:7TN7EELZ

pith:2010:7TN7EELZCPCCUC2EVX42VP5LDU

not attested not anchored not stored refs pending

Do the Ricci and energy-momentum tensors have "duality'' in the context of their Lie symmetries?

Asghar Qadir, Hina Khan, K. Saifullah, M. Ziad

arxiv:1011.5163 v1 · 2010-11-23 · 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{7TN7EELZCPCCUC2EVX42VP5LDU}

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	2026-05-18T02:26:45.764470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdbf2117913c42a0b44adf9aabfab1d25d59fbcf19bb108377936e871d796cb

Aliases

arxiv: 1011.5163 · arxiv_version: 1011.5163v1 · doi: 10.48550/arxiv.1011.5163 · pith_short_12: 7TN7EELZCPCC · pith_short_16: 7TN7EELZCPCCUC2E · pith_short_8: 7TN7EELZ

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/7TN7EELZCPCCUC2EVX42VP5LDU \
  | 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: fcdbf2117913c42a0b44adf9aabfab1d25d59fbcf19bb108377936e871d796cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b17f7105c7cfc88278d05980e3d7d79a3ae49850c3064608e8002e28bbc27c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-23T16:59:18Z",
    "title_canon_sha256": "22cca5a97271bed3da9f0d5472376cfdf871249f29be601b27d10264104a61ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5163",
    "kind": "arxiv",
    "version": 1
  }
}