Pith Number

pith:WYGZGYAO

pith:2015:WYGZGYAOCWGKADYORPC7GD7N64

not attested not anchored not stored refs pending

Planck-scale-modified dispersion relations in FRW spacetime

Antonino Marciano, Giacomo Rosati, Giovanni Amelino-Camelia, Marco Matassa

arxiv:1507.02056 v1 · 2015-07-08 · hep-th · astro-ph.HE · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYGZGYAOCWGKADYORPC7GD7N64}

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	2026-05-18T01:23:39.921071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b60d93600e158ca00f0e8bc5f30fedf719f7953f1a9dc67c776e126e2ab70d2a

Aliases

arxiv: 1507.02056 · arxiv_version: 1507.02056v1 · doi: 10.48550/arxiv.1507.02056 · pith_short_12: WYGZGYAOCWGK · pith_short_16: WYGZGYAOCWGKADYO · pith_short_8: WYGZGYAO

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/WYGZGYAOCWGKADYORPC7GD7N64 \
  | 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: b60d93600e158ca00f0e8bc5f30fedf719f7953f1a9dc67c776e126e2ab70d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0944447c7425a4c54c7565f6d7c0705e5607023bfac1b07a9202ef0dc3473f4",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-07-08T07:52:08Z",
    "title_canon_sha256": "2345908de53ec4704671f872dc2bec059726127daaa169c3b701ab382e534bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02056",
    "kind": "arxiv",
    "version": 1
  }
}