Pith Number

pith:FOFOEVFZ

pith:2007:FOFOEVFZWI7VOUPW6KKYDIYOQQ

not attested not anchored not stored refs pending

Phonon anharmonicities in graphite and graphene

Francesco Mauri, Michele Lazzeri, Nicola Bonini, Nicola Marzari

arxiv:0708.4259 v2 · 2007-08-31 · 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{FOFOEVFZWI7VOUPW6KKYDIYOQQ}

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	2026-07-04T15:05:09.179411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8ae254b9b23f5751f6f29581a30e840e96ca561bba9510fd86a8dffb2a5a74

Aliases

arxiv: 0708.4259 · arxiv_version: 0708.4259v2 · doi: 10.48550/arxiv.0708.4259 · pith_short_12: FOFOEVFZWI7V · pith_short_16: FOFOEVFZWI7VOUPW · pith_short_8: FOFOEVFZ

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/FOFOEVFZWI7VOUPW6KKYDIYOQQ \
  | 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: 2b8ae254b9b23f5751f6f29581a30e840e96ca561bba9510fd86a8dffb2a5a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ef568b8a5228d09aa6eaf12751928916b7b58863dba3a0e0d7e99c430cd51b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2007-08-31T01:05:29Z",
    "title_canon_sha256": "68ede9a5577f268052ee8cbad5d3a71ffdf2381fa7bb360bf3bc997aa2603628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4259",
    "kind": "arxiv",
    "version": 2
  }
}