Pith Number

pith:TL3UHRMJ

pith:1993:TL3UHRMJNZO7SULMFWV64RTCU6

not attested not anchored not stored refs pending

Flipped Angles and Phases: A Systematic Study

D. Nanopoulos, J. Ellis, J. Lopez, K. Olive

arxiv:hep-ph/9303307 v1 · 1993-03-25 · 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{TL3UHRMJNZO7SULMFWV64RTCU6}

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	2026-07-04T15:49:17.414638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af743c5896e5df9516c2dabee4662a7b75fba2720fa68953170a12f58235368

Aliases

arxiv: hep-ph/9303307 · arxiv_version: hep-ph/9303307v1 · doi: 10.48550/arxiv.hep-ph/9303307 · pith_short_12: TL3UHRMJNZO7 · pith_short_16: TL3UHRMJNZO7SULM · pith_short_8: TL3UHRMJ

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/TL3UHRMJNZO7SULMFWV64RTCU6 \
  | 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: 9af743c5896e5df9516c2dabee4662a7b75fba2720fa68953170a12f58235368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f98e6ffff93e878a977ad79de2e19e081936eea01dc48c9961c11f0e5d0119",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-03-25T20:52:24Z",
    "title_canon_sha256": "fa0927cfaf239e050e56e15de3c1ff81c22ad38257df13eb861e3bc25c642622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9303307",
    "kind": "arxiv",
    "version": 1
  }
}