Pith Number

pith:4X5L5XKQ

pith:2015:4X5L5XKQ67UOBTDQ7BHWNUN3J6

not attested not anchored not stored refs pending

Photons with sub-Planckian Energy Cannot Efficiently Probe Space-Time Foam

Linqing Wen, Yanbei Chen, Yiqiu Ma

arxiv:1504.07509 v1 · 2015-04-24 · 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{4X5L5XKQ67UOBTDQ7BHWNUN3J6}

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	2026-05-18T01:40:48.754567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fabedd50f7e8e0cc70f84f66d1bb4f8229cdfdf0d6f0e56b8b2ddcea1b6a52

Aliases

arxiv: 1504.07509 · arxiv_version: 1504.07509v1 · doi: 10.48550/arxiv.1504.07509 · pith_short_12: 4X5L5XKQ67UO · pith_short_16: 4X5L5XKQ67UOBTDQ · pith_short_8: 4X5L5XKQ

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/4X5L5XKQ67UOBTDQ7BHWNUN3J6 \
  | 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: e5fabedd50f7e8e0cc70f84f66d1bb4f8229cdfdf0d6f0e56b8b2ddcea1b6a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adfe56311929546074cd1a8e0b62d02f9840a1c04403c40804cd41065b87a9a9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2015-04-24T12:27:38Z",
    "title_canon_sha256": "e71c2eb4a633ee03365ec2ab3b67b3e5a09b399c45af2acd3fe90961bd2bdf4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07509",
    "kind": "arxiv",
    "version": 1
  }
}