Pith Number

pith:PW2WB4RJ

pith:2015:PW2WB4RJNUAQELX36YZYH2SQEN

not attested not anchored not stored refs pending

Field Theory for Zero Sound and Ion Acoustic Wave in Astrophysical Matter

Gregory Gabadadze, Rachel A Rosen

arxiv:1507.06705 v1 · 2015-07-24 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW2WB4RJNUAQELX36YZYH2SQEN}

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	2026-05-18T01:21:04.867259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db560f2296d01022efbf63383ea50236290a64aa288e75d11db7f8b498d1cde

Aliases

arxiv: 1507.06705 · arxiv_version: 1507.06705v1 · doi: 10.48550/arxiv.1507.06705 · pith_short_12: PW2WB4RJNUAQ · pith_short_16: PW2WB4RJNUAQELX3 · pith_short_8: PW2WB4RJ

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/PW2WB4RJNUAQELX36YZYH2SQEN \
  | 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: 7db560f2296d01022efbf63383ea50236290a64aa288e75d11db7f8b498d1cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd87e46009d36ea18987dd4860a78932d308d361889564c8b414c6580020a650",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-07-24T00:06:40Z",
    "title_canon_sha256": "ee14e2913dd7e37b05bf8dcb07eaea710314b680402f8436c9bda1c584738ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06705",
    "kind": "arxiv",
    "version": 1
  }
}