pith. sign in
Pith Number

pith:TTCENZK2

pith:2016:TTCENZK2TWKL6VM7HOWDGDUIOA
not attested not anchored not stored refs pending

The Variation of Photon Speed with Photon Frequency in Quantum Gravity

A. K. Sen, Anuj Kumar Dubey, Sonarekha Nath

arxiv:1605.04843 v4 · 2016-05-16 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TTCENZK2TWKL6VM7HOWDGDUIOA}

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 2026-05-18T00:21:37.900166Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9cc446e55a9d94bf559f3bac330e88700bda804e5c3ab7defe6656bd77d8be99

Aliases

arxiv: 1605.04843 · arxiv_version: 1605.04843v4 · doi: 10.48550/arxiv.1605.04843 · pith_short_12: TTCENZK2TWKL · pith_short_16: TTCENZK2TWKL6VM7 · pith_short_8: TTCENZK2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TTCENZK2TWKL6VM7HOWDGDUIOA \
  | 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: 9cc446e55a9d94bf559f3bac330e88700bda804e5c3ab7defe6656bd77d8be99
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "28f3058c2aff68e1112b0d2ea877720e1755f6c313930e1a91a26fddfbd53772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-05-16T17:21:47Z",
    "title_canon_sha256": "c09a422a4eee9b2a42375f3bcab49cb2358878b14dd8f2c2c5af9579413ebe92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04843",
    "kind": "arxiv",
    "version": 4
  }
}