Pith Number

pith:ZDS4S2SU

pith:2011:ZDS4S2SUILSUGYGM6REAMF7GP7

not attested not anchored not stored refs pending

Neutrino propagation in noncommutative spacetimes

A. Ilakovac, J. Trampetic, J. You, P. Schupp, R. Horvat

arxiv:1111.4951 v2 · 2011-11-21 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDS4S2SUILSUGYGM6REAMF7GP7}

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	2026-05-18T01:59:27.386801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e5c96a5442e54360ccf4480617e67fe2a336d38466e82f781980c6f8e5908d

Aliases

arxiv: 1111.4951 · arxiv_version: 1111.4951v2 · doi: 10.48550/arxiv.1111.4951 · pith_short_12: ZDS4S2SUILSU · pith_short_16: ZDS4S2SUILSUGYGM · pith_short_8: ZDS4S2SU

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/ZDS4S2SUILSUGYGM6REAMF7GP7 \
  | 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: c8e5c96a5442e54360ccf4480617e67fe2a336d38466e82f781980c6f8e5908d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2301e495d87e47df4c16b7bf846239feff96c32d227fc8017ad3bd0d52b52cd4",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-21T17:51:17Z",
    "title_canon_sha256": "7c8f8eea6fe416d29c008039a761217f58e07d6d71ac882830b6c0c7fd3d3129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4951",
    "kind": "arxiv",
    "version": 2
  }
}