Pith Number

pith:NR4O2C4O

pith:2008:NR4O2C4OTLF7OTRYPMSE2QKDYS

not attested not anchored not stored refs pending

Describing neutrino oscillations in matter with Magnus expansion

A. N. Ioannisian, A. Yu. Smirnov

arxiv:0803.1967 v2 · 2008-03-13 · 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{NR4O2C4OTLF7OTRYPMSE2QKDYS}

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	2026-07-04T17:28:25.520813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c78ed0b8e9acbf74e387b244d4143c4bc976f5b8b12ddfa9438d77200f88d10

Aliases

arxiv: 0803.1967 · arxiv_version: 0803.1967v2 · doi: 10.48550/arxiv.0803.1967 · pith_short_12: NR4O2C4OTLF7 · pith_short_16: NR4O2C4OTLF7OTRY · pith_short_8: NR4O2C4O

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/NR4O2C4OTLF7OTRYPMSE2QKDYS \
  | 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: 6c78ed0b8e9acbf74e387b244d4143c4bc976f5b8b12ddfa9438d77200f88d10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e09b57a6f988ce235ffa0da818db53d333efe6b4acac356597c0689f2ebd011",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-03-13T13:45:08Z",
    "title_canon_sha256": "d3d82d034010b2c671dd5b796b5af3b179afd57922cd8396f696e55dd6a4a367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1967",
    "kind": "arxiv",
    "version": 2
  }
}