Pith Number

pith:UPNDCEDF

pith:2012:UPNDCEDFAIFULRJFWJCVKD3OKY

not attested not anchored not stored refs pending

Wave Packet Approach to Neutrino Oscillations with Matter Effects

Bo-Qiang Ma, Nan Qin

arxiv:1206.0812 v1 · 2012-06-05 · 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{UPNDCEDFAIFULRJFWJCVKD3OKY}

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	2026-05-18T03:54:16.286468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3da311065020b45c525b245550f6e562c0588675a16605159c6b26d2f719a0b

Aliases

arxiv: 1206.0812 · arxiv_version: 1206.0812v1 · doi: 10.48550/arxiv.1206.0812 · pith_short_12: UPNDCEDFAIFU · pith_short_16: UPNDCEDFAIFULRJF · pith_short_8: UPNDCEDF

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/UPNDCEDFAIFULRJFWJCVKD3OKY \
  | 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: a3da311065020b45c525b245550f6e562c0588675a16605159c6b26d2f719a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b89e3b29ca428f1829b5ae2e97c1ab1647d8c8e51311d8660a671cdb6d03ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-05T02:53:03Z",
    "title_canon_sha256": "ed93c92e6574a45bc6ddaaf34b4483ca7278204e73b84a0a111e2b8309e87194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0812",
    "kind": "arxiv",
    "version": 1
  }
}