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Pith Number

pith:WDFL37KQ

pith:1999:WDFL37KQLP4LFPIMOY4YCE5DY7
not attested not anchored not stored refs pending

Neutrino propagation in matter with general interactions

Enrico Nardi, Sven Bergmann, Yuval Grossman

arxiv:hep-ph/9903517 v3 · 1999-03-29 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WDFL37KQLP4LFPIMOY4YCE5DY7}

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 2026-05-18T01:08:00.586495Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b0cabdfd505bf8b2bd0c76398113a3c7d760eb0a3ebb20d4ee5d351f6421350d

Aliases

arxiv: hep-ph/9903517 · arxiv_version: hep-ph/9903517v3 · doi: 10.48550/arxiv.hep-ph/9903517 · pith_short_12: WDFL37KQLP4L · pith_short_16: WDFL37KQLP4LFPIM · pith_short_8: WDFL37KQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WDFL37KQLP4LFPIMOY4YCE5DY7 \
  | 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: b0cabdfd505bf8b2bd0c76398113a3c7d760eb0a3ebb20d4ee5d351f6421350d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e304b2427fa7a3e1dc24d0223724c27c646b7761e6becdd8a346d60fba27fcb7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-03-29T18:57:59Z",
    "title_canon_sha256": "b919959a7c85c723178b210d94c79711a6088139d423e9ff95b0e9dbbb6414c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9903517",
    "kind": "arxiv",
    "version": 3
  }
}