pith. sign in
Pith Number

pith:DKHBC3GZ

pith:2011:DKHBC3GZ6YZ37KOGYWCFWP53EC
not attested not anchored not stored refs pending

The trans-Planckian problem as a guiding principle

Carlos Barcel\'o, Gil Jannes, Luis C. Barbado, Luis J. Garay

arxiv:1109.3593 v2 · 2011-09-16 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DKHBC3GZ6YZ37KOGYWCFWP53EC}

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 2026-05-18T04:07:19.314644Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1a8e116cd9f633bfa9c6c5845b3fbb2088104f4d67565714c72527db2d852d6b

Aliases

arxiv: 1109.3593 · arxiv_version: 1109.3593v2 · doi: 10.48550/arxiv.1109.3593 · pith_short_12: DKHBC3GZ6YZ3 · pith_short_16: DKHBC3GZ6YZ37KOG · pith_short_8: DKHBC3GZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DKHBC3GZ6YZ37KOGYWCFWP53EC \
  | 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: 1a8e116cd9f633bfa9c6c5845b3fbb2088104f4d67565714c72527db2d852d6b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a1a7a99bd0f45c97d7bb5d6a720b0ac6e25c18f3d7675d1ff11052435e91564e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-16T12:07:08Z",
    "title_canon_sha256": "e884ffda842f02f72ec7f1deb867036921a0b5e892cd4a01fd97bf26a621daa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3593",
    "kind": "arxiv",
    "version": 2
  }
}