Pith Number

pith:O6A2GMOE

pith:2016:O6A2GMOESOCSLS3G6FIIMJFDFT

not attested not anchored not stored refs pending

Looking into Analytical Approximations for Three-flavor Neutrino Oscillation Probabilities in Matter

Jing-yu Zhu, Jue Zhang, Shun Zhou, Yu-Feng Li

arxiv:1610.04133 v2 · 2016-10-13 · 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{O6A2GMOESOCSLS3G6FIIMJFDFT}

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	2026-05-18T00:53:58.295587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7781a331c4938525cb66f1508624a32cd061b2a399c3fd78a03026eb1dbeb896

Aliases

arxiv: 1610.04133 · arxiv_version: 1610.04133v2 · doi: 10.48550/arxiv.1610.04133 · pith_short_12: O6A2GMOESOCS · pith_short_16: O6A2GMOESOCSLS3G · pith_short_8: O6A2GMOE

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/O6A2GMOESOCSLS3G6FIIMJFDFT \
  | 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: 7781a331c4938525cb66f1508624a32cd061b2a399c3fd78a03026eb1dbeb896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aac97bce209188bfcd5f0c9140194d209286e2fb6bc84d86856f61788b3e7ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-10-13T15:41:59Z",
    "title_canon_sha256": "a07192317e2ff48c87ed58700952cdc528233c4217f05c8a976cc16648023a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04133",
    "kind": "arxiv",
    "version": 2
  }
}