Pith Number

pith:VLRBMPGZ

pith:2016:VLRBMPGZVLEV3DAYDX2PZDSYQA

not attested not anchored not stored refs pending

Unified theory of electron-phonon renormalization and phonon-assisted optical absorption

Christopher E. Patrick, Feliciano Giustino

arxiv:1607.07990 v1 · 2016-07-27 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLRBMPGZVLEV3DAYDX2PZDSYQA}

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	2026-05-18T01:10:22.781015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae2163cd9aac95d8c181df4fc8e58800215b6ce9eeee39f7fe7fdd3f7979625

Aliases

arxiv: 1607.07990 · arxiv_version: 1607.07990v1 · doi: 10.48550/arxiv.1607.07990 · pith_short_12: VLRBMPGZVLEV · pith_short_16: VLRBMPGZVLEV3DAY · pith_short_8: VLRBMPGZ

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/VLRBMPGZVLEV3DAYDX2PZDSYQA \
  | 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: aae2163cd9aac95d8c181df4fc8e58800215b6ce9eeee39f7fe7fdd3f7979625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d532d3e4e8ac9930d800186fc7e40f565fc0fee1aacbdd551cc396c5932512b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2016-07-27T07:29:53Z",
    "title_canon_sha256": "4e60567440f2b1d01311274b37d42d0664f86410acbc55f2a032acbc355062db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07990",
    "kind": "arxiv",
    "version": 1
  }
}