Pith Number

pith:TZIDBAAT

pith:2009:TZIDBAAT6PDNPRVAU6AHQZZLJD

not attested not anchored not stored refs pending

Geometric aspects of phonon polarization transport

Mohammad Mehrafarin, Reza Torabi

arxiv:0905.1371 v1 · 2009-05-09 · math-ph · math.MP · quant-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{TZIDBAAT6PDNPRVAU6AHQZZLJD}

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	2026-05-18T04:19:03.374431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e50308013f3c6d7c6a0a78078672b48d31586049905f30cee48d2fc96772036

Aliases

arxiv: 0905.1371 · arxiv_version: 0905.1371v1 · doi: 10.48550/arxiv.0905.1371 · pith_short_12: TZIDBAAT6PDN · pith_short_16: TZIDBAAT6PDNPRVA · pith_short_8: TZIDBAAT

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/TZIDBAAT6PDNPRVAU6AHQZZLJD \
  | 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: 9e50308013f3c6d7c6a0a78078672b48d31586049905f30cee48d2fc96772036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1e34906cb60a2feba72a9119d14754cd92fd39fe9464eea97a99605334729b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-05-09T03:42:21Z",
    "title_canon_sha256": "44aa6fcc216eb6ff9366f382e759e0b88d1431c2c26a1c2b841864aedd0461bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1371",
    "kind": "arxiv",
    "version": 1
  }
}