Pith Number

pith:MPZLCLOV

pith:2007:MPZLCLOVQEDTH7E6VZH2FCYVC6

not attested not anchored not stored refs pending

Analysis of Collective Neutrino Flavor Transformation in Supernovae

George M. Fuller (UCSD), Huaiyu Duan (UCSD), J. Carlson (LANL), Yong-Zhong Qian (UMN)

arxiv:astro-ph/0703776 v1 · 2007-03-29 · astro-ph · 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{MPZLCLOVQEDTH7E6VZH2FCYVC6}

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.

Cited by

1 paper in Pith

Singular Perturbations of Hamilton-Jacobi Equations in the Wasserstein Space

Receipt and verification

First computed	2026-07-04T15:21:58.338991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f2b12dd5810733fc9eae4fa28b15179d422be427deded89d9dad20109f6c02

Aliases

arxiv: astro-ph/0703776 · arxiv_version: astro-ph/0703776v1 · doi: 10.48550/arxiv.astro-ph/0703776 · pith_short_12: MPZLCLOVQEDT · pith_short_16: MPZLCLOVQEDTH7E6 · pith_short_8: MPZLCLOV

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/MPZLCLOVQEDTH7E6VZH2FCYVC6 \
  | 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: 63f2b12dd5810733fc9eae4fa28b15179d422be427deded89d9dad20109f6c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8aed8689ad8b31fe6abf70a522a5bbfd58106ce27d668c2c94992324921b062",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-03-29T21:40:10Z",
    "title_canon_sha256": "7a2a6cf291a782956e58e65a084052cc48db75a8c27fc420e232468ec3ffd2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0703776",
    "kind": "arxiv",
    "version": 1
  }
}